Question

A prism with a square base has a volume of 96 ft3. The height of the unit is 6 feet.

A prism has a length of l, width of 2, and height of 6 feet.

Given what you know about the figure, complete these sentences.

The area of the square base is feet2.
The length of the prism is feet.
The width of the prism is feet.

Answer 1

Answer:

The area of the base is 16 ft^2

The length of the prism is  4 feet.

The width of the prism is 4 feet.

Step-by-step explanation:

The formula for volume of a prism is given by

V=Bh where B is the area of the base and h is the height

96 = B h

We know h is 6

96 = B6

Divide each side by 6

16 = B

The area of the base is 16 ft^2

Since the base is a square

B =16ft^2

since it is a square, the area is given by

B =s^2 where s is the side length

16 =s ^2

Taking the square root

4 = s

The length of the prism is  4 feet.

The width of the prism is 4 feet.

Answer 2

Answer:

1.  square base        =  A = 16 ft² (Base area of square prism)

2. Length of prism  = 4 ft

3. Width of prism    =  4 ft

Step-by-step explanation:

given:

Volume of a square base prism (V) = 96 ft³

height (h) = 6 ft

Length (L) = L

Width (W) = W

find:

1.  square base

2. Length of prism

3. Width of prism

---------------------------------

1.

Vol of prism = base area (A) x height (h)

V = A * h

96 = A * 6

A = 96 / 6

A = 16 ft² (Base area of square prism)

2.

Length of prism = A = s²

16 = s²

s = √16

s = 4 ft.

therefore the Length of a square base prism = 4 ft

3.

square base = L = W

therefore the Width of a square base prism = 4 ft