What is the length of a right rectangular prism with a volume of 90 width of 3 and height of 5?

Answer 1

To find the length of a right rectangular prism given the volume, width, and height, we can use the formula for the volume of a rectangular prism:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

We are given:

• Volume = 90
• Width = 3
• Height = 5

We can rearrange the formula to solve for Length:

\[ \text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}} \]

Substituting in the values we have:

\[ \text{Length} = \frac{90}{3 \times 5} \]

Calculating the denominator:

\[ 3 \times 5 = 15 \]

Now substitute this back into the equation for Length:

\[ \text{Length} = \frac{90}{15} = 6 \]

Therefore, the length of the rectangular prism is \( \boxed{6} \).

Answer 2

you sure its 6-?

Answer 3

Yes, let's double-check the calculation to ensure accuracy.

We start with the formula for the volume of a right rectangular prism:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

Given:

• Volume = 90
• Width = 3
• Height = 5

We need to find the Length, so we rearrange the formula:

\[ \text{Length} = \frac{\text{Volume}}{\text{Width} \times \text{Height}} \]

Substituting in the known values:

\[ \text{Length} = \frac{90}{3 \times 5} \]

Calculating \(3 \times 5\):

\[ 3 \times 5 = 15 \]

Now substitute this back into the equation for Length:

\[ \text{Length} = \frac{90}{15} \]

Now, dividing:

\[ 90 \div 15 = 6 \]

Thus, the calculated length is indeed \( \boxed{6} \).

Answer 4

Yes Its 6 I just checked