Margaret makes a square frame out of four pieces of wood. Each piece of wood is a rectangular prism with a length of 40 cm, a height of 4 cm, and a depth of 6 cm. We want to find the total volume of the wood used in the frame.

1. Problem Description

Margaret makes a square frame out of four pieces of wood. Each piece of wood is a rectangular prism with a length of 40 cm, a height of 4 cm, and a depth of 6 cm. We want to find the total volume of the wood used in the frame.

2. Solution Steps

Since each piece of wood is a rectangular prism, we can calculate the volume of each piece using the formula:

$Volume = length \times height \times depth$

Given the dimensions are:

Length = 40 cm

Height = 4 cm

Depth = 6 cm

The volume of one piece of wood is:

$Volume_{1} = 40 \times 4 \times 6 = 960 cm^3$

Since there are 4 pieces of wood in the frame, the total volume is:

$Total Volume = 4 \times Volume_{1} = 4 \times 960 = 3840 cm^3$

3. Final Answer

3840 cm³