Question

The volume of a rectangular prism is 272.8 m3. The prism has a base that is 4.4 m by 3.1 m. Find the height of the prism.

Answer 1

Answer: 2 = h

Step-by-step explanation:

The volume of a rectangular prism is given by the formula

V

=

area of base

×

h

, where

V

is volume and

h

is height.

The area of the base is

8

×

4

=

32

square meters.

We can now say:

64

=

32

×

h

64

32

=

32

h

32

2

=

h

Hence, the height measures

2

meters.

Hopefully this helps!

Answer 2

Answer:

20 m

Step-by-step explanation:

Volume of rectangular prism = area of base × height of prism

the prism has a base of 4.4 m × 3.1 m

area of prism = 4.4 m × 3.1 m = 13.64 m²

therefore, volume = 272.8 m³ = 13.64 m² × height of prism

height of prism = 272.8 / 13.64

height of prism = 20 m