Table of Contents

- 1 Can two figures with the same volume have different surface areas?
- 2 Does doubling the height of a prism double its volume?
- 3 How are the surface area and volume of a rectangular prism related to each other?
- 4 How do you find the height of a prism?
- 5 What happens to the volume of a prism when the base area and height are both doubled?
- 6 What is difference between area and volume?

## Can two figures with the same volume have different surface areas?

Surface area is a two-dimensional measure, while volume is a three-dimensional measure. Two figures can have the same volume but different surface areas.

**How do you find the volume of a prism with different bases?**

Multiply the area of the triangular base face times the height. Simply multiply the area of the base times the height. After you multiply the base and height, you’ll have the volume of the triangular prism. State your answer in cubic units.

### Does doubling the height of a prism double its volume?

What Happens to the Volume of Rectangular Prism If the Length, Width, and Height of Prism are Doubled? Thus, we can conclude that if its length, width, and height will be doubled, the volume of the rectangular prism will be 8 times the original value.

**Can a rectangular prism and a cube have the same volume?**

A cube has sides of equal length. The volume of a cube is the side length cubed. A rectangular prism has a volume that is length times width time height. Using this variable, set up an equation that show that the volume of the cube has the same volume as the rectangular prism.

The surface area of a rectangular prism is the sum of the areas of each side, and the volume of a rectangular prism is its length times width times height. Knowing the surface area and volume formula for a rectangular prism makes it much easier to tackle other geometric shapes.

**How does volume and surface area relate to 2 dimensional area?**

As we learned, the total amount of space inside an object is called its volume, while the total area of the surface of an object is called its surface area. When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change.

### How do you find the height of a prism?

Height of Prism So to calculate height, divide the volume of a prism by its base area. For this example, the volume of the prism is 500 and its base area is 50. Dividing 500 by 50 results in 10. The height of the prism is 10.

**How do you find the height when you have the area and volume?**

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

## What happens to the volume of a prism when the base area and height are both doubled?

The volume of a prism is V=lwh or Bh where B is the area of the base (l x w) and h is the height. If the base area and height are both doubled, the volume is increased by a factor of 4.

**What happens to the volume of a prism when you double the height of the figure?**

New volume is (2L)(2W)(2H). That’s 8 times as much. If you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2.

### What is difference between area and volume?

The area is the measurement of the region covered by any two-dimensional geometric shapes. The volume is the space occupied by the three-dimensional object. Volume is measured for 3D(solid) figures. The area is measured in two dimensions i.e length and breadth.

**How are cubes and rectangular prisms alike and different?**

Rectangular prisms are six-sided polygons; three-dimensional shapes of which all sides meet at 90-degree angles, like a box. Cubes are a special type of rectangular prism of which all sides are the same length; this is the key difference between cubes and other rectangular prisms.