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 158,400 cm 158,400 cm 45 cm 45 cm 15 cm 15 cm 40 cm

Answer 1

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

\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \]

We know the following values:

• Volume = 162,000 cubic centimeters
• Length = 90 cm
• Height = 40 cm

We can rearrange the formula to solve for width:

\[ \text{width} = \frac{\text{Volume}}{\text{length} \times \text{height}} \]

Substituting in the known values:

\[ \text{width} = \frac{162,000}{90 \times 40} \]

Calculating \(90 \times 40\):

\[ 90 \times 40 = 3600 \]

Now substitute this back into the equation for width:

\[ \text{width} = \frac{162,000}{3600} \]

Calculating this gives:

\[ \text{width} = 45 \text{ cm} \]

So, the width of the box is 45 cm.