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3 years ago

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

Mathematics

2 answers:

alexandr1967 [171]3 years ago

5 0

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.

olchik [2.2K]3 years ago

4 0

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

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

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)

Length of prism = A = s²

16 = s²

s = √16

s = 4 ft.

therefore the Length of a square base prism = 4 ft

square base = L = W

therefore the Width of a square base prism = 4 ft

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Step-by-step explanation:

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