Hakeem is building a box in the shape of a right rectangular prism to store his toys. It has a volume of 162,000 cubic centimeters. What is the width of the box if the height is 40 cm and the length is 90 cm?(1 point) Responses 45 cm 45 cm 40 cm 40 cm 158,400 cm 158,400 cm 15 cm

Answer 1

To find the width of the box, we can use the formula for the volume of a right rectangular prism, which is:

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

We know the volume \(V\) is 162,000 cm³, the height \(h\) is 40 cm, and the length \(l\) is 90 cm. We want to find the width \(w\).

Substituting the known values into the volume formula, we have:

\[ 162,000 = 90 \times w \times 40 \]

First, calculate \(90 \times 40\):

\[ 90 \times 40 = 3600 \]

Now we can rewrite the equation as:

\[ 162,000 = 3600 \times w \]

Next, solve for \(w\):

\[ w = \frac{162,000}{3600} \]

Calculating the division:

\[ w = 45 \]

Thus, the width of the box is 45 cm.