Question

unit 1: lesson 5 side lengths of rectangular prisms
today we learned how to multiply the area of the base in a prism by its height to find volume.
volume = area of the base x height (b x h)
or
length x width x height
base area is 8 square units
height is 5 cubes
volume = 8 x 5 or 40 cubic units

1. below is the base of a rectangular prism. fill in the table to show the volume of the prism for each given height.

height	volume
3 cubes	cubic units
6 cubes	cubic units
8 cubes	cubic units

Explanation:

Step1: Count base - area

By counting the squares in the base, the area of the base ($B$) is 20 square units.

Step2: Calculate volume for height = 2

Use the formula $V = B\times H$. Substitute $B = 20$ and $H = 2$. So $V=20\times2 = 40$ cubic units.

Step3: Calculate volume for height = 3

Substitute $B = 20$ and $H = 3$ into the formula $V = B\times H$. So $V = 20\times3=60$ cubic units.

Step4: Calculate volume for height = 6

Substitute $B = 20$ and $H = 6$ into the formula $V = B\times H$. So $V=20\times6 = 120$ cubic units.

Step5: Calculate volume for height = 8

Substitute $B = 20$ and $H = 8$ into the formula $V = B\times H$. So $V=20\times8=160$ cubic units.

Answer:

HEIGHT	VOLUME
3 cubes	60 cubic units
6 cubes	120 cubic units
8 cubes	160 cubic units