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)

Question

Responses

15 cm
15 cm

45 cm
45 cm

158,400 cm
158,400 cm

40 cm

Answer 1

To find the width of the box (W), you can use the formula for the volume of a right rectangular prism:

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

Given:

• Volume = 162,000 cm³
• Length (L) = 90 cm
• Height (H) = 40 cm

Plugging in the known values:

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

Now, simplify the equation:

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

To isolate W, divide both sides by 3600:

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

Calculating W:

\[ W = 45 , \text{cm} \]

So, the width of the box is 45 cm.