Question

HELP REALLY FAST A student is helping a family member build a storage bin for their garage. They would like for the bin to have a volume of 168 ft3. If they already have the length measured at 7 feet and the width at 6 feet, what is the height needed to reach the desired volume?

3 feet
3.25 feet
4 feet
4.25 feet

Answer 1

Explanation:

the volume of a cube or prism is

length × width × height

so,

168 = 6 × 7 × height = 42 × height

height = 168/42 = 4 ft

Answer 2

option (c) 4 feet.

Explanation:

To calculate the height needed to reach the desired volume of 168 ft³, we can use the formula for the volume of a rectangular prism, which is given by:

Volume = Length x Width x Height

Given that the length is 7 feet and the width is 6 feet, we can substitute these values into the formula:

168 = 7 x 6 x Height

Now, we can solve for Height by dividing both sides of the equation by (7 x 6), like this:

168 / (7 x 6) = Height

168 / 42 = Height

Height ≈ 4 feet

So, the height needed to reach the desired volume of 168 ft³ is approximately 4 feet. Therefore, the correct answer is option (c) 4 feet.