Calculating Volume
Volume
Volume as Layers
Additive Volume
100

B. 60 cubic inches

100

Determine the volume of a rectangular prism with the given measurements.

The length is 3 units, the width is 6 units, and the height is 5 units. 

90 cubic units

100

Why would filling a box with marbles and filling the same box with cubes be different amounts?

Sample answer:

They are different sizes and shapes. Marbles don't fit together as nicely as cubes. 

100

True or False.

Volume can be found be figuring out the base, and then how many layers there are.

True

200

I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?

8x2x4 = 64 cubic inches

200

The volume of a prism is 60 in3.  The length is 10 inches and the width is 3 inches. What is the height? 

10 x 3 x ?= 60

30 x ? = 60

The height is 2 inches.

200

How many cubes are in one layer of this rectangular prism?

2 layers of 16

OR

4 layers of 8

200

How do you find the volume of a composite figure?  

You find the volume of each rectangular prism then add the volume amounts together to get the total. 

300

What is the volume of this figure?

6 x 3 x 4 = 72 cm3

300

Determine the volume of a rectangular prism with the given measurements.

The base has an area of 300 square inches and the height is 5 inches. 


1,500 cubic inches

300

4 layers of 24 

The prism is 4 cubes high and 6 cubes long and 4 cubes wide. 

300

What is the volume of this composite prism?

72 in3

400

A box is 5 inches by 2 inches by 8 inches. What is the volume of the box?

80 cubic inches

400

The base of a rectangular prism is 40m2 and the height of 4 m. What is the volume of this prism? 

40 x 4 = 160 m3

400

How many layers are in this rectangular prism?

3 layers of 24

400

What is the volume of the top figure? 

108 cm3


500

What is the volume of a prism with a base of 12 square meters and a height of 6 meters?


12 x 6 = 72 cubic meters

500

John's class is designing a garden with a rectangular shape.

The garden should meet these criteria:
1. The garden should have at least 100 squre feet for the plants.

2. The volume should be less than 400 cubic feet. 

Recommend side lengths for the garden that fit the needs of John's class. 

Base must equal 100 square feet or greater.

The volume is less than 400 cubic feet. 

500

What is the volume of a prism that has 4 layers of 50 square meters. 

200 m3

500

What is the volume of top layer? 

 48 cm3