Question

Find the volume of the design for a box built from a piece of plywood measuring 40 cm by 160 cm.

(a) 32,000 cm³
(b) 64,000 cm³
(c) 96,000 cm³
(d) 128,000 cm³

Answer 1

The volume of a box is calculated by multiplying its length, width, and height.

Given a piece of plywood measuring 40 cm by 160 cm, to form a box, let's assume the height of the box is the shorter side, i.e., 40 cm.

Volume = length × width × height
Volume = 160 cm × 40 cm × 40 cm
Volume = 256,000 cm³

So, the correct option should be:

(d) 256,000 cm³

Answer 2

To find the volume of a rectangular box, you simply need to multiply the length, width, and height of the box.

Step-by-step explanation:

To find the volume of a rectangular box, you simply need to multiply the length, width, and height of the box. In this case, the plywood piece measures 40 cm by 160 cm. Assuming the height of the box is h cm, the volume V can be calculated as:

V = 40 cm x 160 cm x h cm

Since the question doesn't provide the height, we can't calculate the exact volume. However, we can choose one of the given options using a reasonable height value. For example, if we assume the height is 10 cm, the volume would be 40 cm x 160 cm x 10 cm = 64,000 cm³.