Question

William found the volume of the figure using the expression
(4x3x8)+(10x3x4).
Lia found the volume of the figure using the expression
(3x10x4) + ( 4x3x4)

Answer 1

To determine the volumes found by William and Lia, we can evaluate their expressions.

**William's Expression:**
\[
(4 \times 3 \times 8) + (10 \times 3 \times 4)
\]
Calculating each term:
\[
4 \times 3 \times 8 = 96
\]
\[
10 \times 3 \times 4 = 120
\]
Now, adding these together:
\[
96 + 120 = 216
\]
So, the volume found by William is **216 cubic units**.

**Lia's Expression:**
\[
(3 \times 10 \times 4) + (4 \times 3 \times 4)
\]
Calculating each term:
\[
3 \times 10 \times 4 = 120
\]
\[
4 \times 3 \times 4 = 48
\]
Now, adding these together:
\[
120 + 48 = 168
\]
So, the volume found by Lia is **168 cubic units**.

**Conclusion:**
- William found the volume to be 216 cubic units.
- Lia found the volume to be 168 cubic units.

The methods differ in terms of dimensions being multiplied, resulting in different volumes calculated.