Rectangular Prism Volume and Surface Area

Volume of cubes and rectangular prisms

by Sonya Aversa

​Volume and Surface Area

​Surface Area: measures the area of the OUTSIDE of a three dimensional shape

​

​Volume: measures the space INSIDE a three dimensional shape

Multiple Choice

surface area measures the space

• OUTSIDE of a three dimensional shape

• INSIDE of a three dimensional shape

​Cubes:

• ​3 dimensional shape

• ​has 6 faces made up of 6 squares

• ​all sides are the same size

Multiple Choice

volume measures the space

• OUTSIDE of a three dimensional shape

• INSIDE of a three dimensional shape

​Rectangular prisms:

• ​3 dimensional shape

• ​made up of 6 rectangles

• ​length, height, and width can be different sizes

Multiple Choice

Which shape has all sides equal?

• cube

• rectangular prism

• both

• neither

Multiple Choice

Which shape has all sides of different sizes?

• cube

• rectangular prism

• both

• neither

Multiple Choice

Which shape is three dimensional?

• cube

• rectangular prism

• both

• neither

​Volume of a cube:

​To find the volume of a cube,

​

​Volume = side x side x side

​

​V = s³

Multiple Choice

How do you find the volume of a cube?

• multiply side x side x side

• multiply side x side

• multiply side x 3

• divide side by 3

Multiple Choice

What is the volume of a cube with a side length of 5 feet?

• 25 ft³

• 125 ft³

• 15 ft³

• 100 ft³

Multiple Choice

What is the volume of a cube with a side length of 3/4 feet?

• 9/64 ft³

• 3/4 ft³

• 9/16 ft³

• 16/9 ft³

Multiple Choice

What is the volume of a cube with a side length of 1 and 1/2 feet?

Hint: make 1 and 1/2 an improper fraction first = 3/2)

• 9/8 ft³

• 3/2 ft³

• 27/8 ft³

• 16/9 ft³

Multiple Choice

How do you find the volume of a cube?

• multiply side x side x side

• multiply side x side

• multiply side x 3

• divide side by 3

​Volume of a rectangular prism:

​To find the volume of a rectangular prism,

​

​Volume = length x width x height

​

​V = lwh

Multiple Choice

How do you find the volume of a rectangular prism?

• multiply length x width

• multiply height x width

• multiply length x width x height

• multiply length x height

Multiple Choice

What is the volume of a rectangular prism with a height of 3 meters, and length of 6 meters, and a width of 2 meters?

• 16 m³

• 24 m³

• 6 m³

• 12 m³

Multiple Choice

What is the volume of a rectangular prism with a height of 3 meters, and length of 2 meters, and a width of 1/4 meters?

• 6/4 m³

• 6 m³

• 4 m³

• 3/4 m³

Multiple Choice

What is the volume of a rectangular prism with a height of 3 /4 meters, and length of 2/3 meters, and a width of 1/4 meters?

• 6/4 m³

• 6/4 m³

• 6/48 m³

• 3/48 m³

Multiple Choice

How do you find the volume of a rectangular prism?

• multiply length x width

• multiply height x width

• multiply length x width x height

• multiply length x height