Find the volume of the prism shown. The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Also, What is the volume of the box with a height of 3 2?

Volume of box is 32×72×52=1058=1318=13.125 cubic inches.

Hereof, What is the volume of this cylinder?

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .

Also to know What is the volume of the pyramid? The volume of a pyramid is found using the formula V = (1/3) Bh, where ‘B’ is the base area and ‘h’ is the height of the pyramid. As we know the base of a pyramid is any polygon, we can apply the area of polygons formulas to find ‘B’.

What is area formula?

Given a rectangle with length l and width w, the formula for the area is: A = lw (rectangle). That is, the area of the rectangle is the length multiplied by the width. As a special case, as l = w in the case of a square, the area of a square with side length s is given by the formula: A = s2 (square).

18 Related Questions Answers Found

What is the volume of the box?

To find the volume of a box, simply multiply length, width, and height — and you’re good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters.

What is volume of square?

The volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = s3, where “s” is the length of the side of the square box.

What is the area and volume of cylinder?

A cylinder’s volume is π r² h, and its surface area is 2π r h + 2π r².

How do you find volume with diameter?

About This Article

  1. Measure the circular base to get the diameter.
  2. Divide the diameter by 2 to get the radius.
  3. Calculate the area with the formula: A = πr^2, where r is the radius.
  4. Measure the height of the cylinder.
  5. Multiply the area by the height to get the Volume.

How do you find the volume of a regular pyramid?

The volume of a rectangular pyramid is found using the formula: V = (1/3) × L × W × h, where L x W represents the base area of the rectangular pyramid and h represents its total height.

How do you find the volume of a octagonal pyramid?

We can find the volume of an octagonal pyramid using the following formulas:

  1. Volume = (B × h) / 3, where B is the area of the base.
  2. B = 2 × s2 (1 + √2)

What is area example?

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Name of the shape: Area Formula:
Triangle Area = bh, where b is base, And h is height.
Square Area =l × l, where l is the length of each side.
Rectangle Area = l × w, where l is length and w is width.
Parallelogram Area = b × h, where b is base, and h is perpendicular height.

How do we calculate area?

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

What is volume measured in?

Volume is the measure of the 3-dimensional space occupied by matter, or enclosed by a surface, measured in cubic units. The SI unit of volume is the cubic meter (m3), which is a derived unit.

How do I calculate volume of a cube?

The volume of a cube can be found by multiplying the edge length three times. For instance, if the length of an edge of a cube is 4, the volume will be 43. The formula to calculate the volume of a cube is given as, Volume of a cube = s3, where ‘s’ is the length of the side of the cube.

What is the formula of cube?

So for a cube, the formulas for volume and surface area are V=s3 V = s 3 and S=6s2 S = 6 s 2 .

What is the area and volume of a square?

3. The volume of a solid 3D shape is the amount of space displaced by it.

Perimeter, Area, and Volume.

Table 2. Area Formulas
Shape Formula Variables
Square A=s2 s is the length of the side of the square.
Rectangle A=LW L and W are the lengths of the rectangle’s sides (length and width).
Triangle A=12bh b and h are the base and height

How do you solve surface area and volume problems easily?

Tricks to solve Volume and Surface Area Problems

  1. CUBOID. Let length = l, breadth = b and height = h units. …
  2. CUBE. Let each edge of a cube be of length a. …
  3. CYLINDER. Let radius of base = r and Height (or length) = h. …
  4. CONE. Let radius of base = r and Height = h. …
  5. SPHERE. Let the radius of the sphere be r. …

Why is area of cylinder?

A cylinder has 2 flat surfaces which are usually circles and a curved surface that opens up as a rectangle. Consider the cylinder whose height is ‘h’ and a circular base with radius, ‘r’. … Thus, the area of this rectangle is the curved surface area of the cylinder, = 2πrh.

How do you find volume and surface area?

Surface Area Formulas:

  1. Volume = (1/3)πr


  2. Lateral Surface Area = πrs = πr√(r


    + h


  3. Base Surface Area = πr

  4. Total Surface Area. = L + B = πrs + πr


    = πr(s + r) = πr(r + √(r


    + h



Is diameter a volume?

The diameter of a sphere formula with volume is, d = (6V/π)^(1/3), where d is the diameter of the sphere and V is its volume. Alternatively, we can substitute the value of V, in the volume formula, V = (4/3) π r3, solve it for r, and make it double to find the diameter.

How do you figure out a diameter?

If you are given the area of a circle, the diameter is equal to the square root of four times the area divided by pi (diameter = √ (4 x area) / pi).

What is the formula for volume of a triangular pyramid?

The formula used to calculate the volume of a triangular pyramid is given as, 1/3 × Base Area × Height.

How do you find the volume of a regular pentagonal pyramid?

Formula for the volume of a pentagonal pyramid

  1. (1) Volume


    = Area


    × Height 3. …
  2. Area


    = Area


    = Perimeter × Apothem2. …
  3. Volume = 5 × Side × Apothem × Height 6. …
  4. Apothem = side2•tan(α÷2) …
  5. Height = √( 5-√510. …
  6. Volume = 5 × side ² × height 12 × Tan(36°)