Question

)Which box has the largest volume
a)10l 8w 6h b)12l 10w 7h c)12l 10w 7h

Answer 1

To find out which box has the largest volume, we can calculate the volume of each box using the formula for the volume of a rectangular prism, which is:

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

Let's calculate the volume for each box.

**a)** Box with dimensions 10l x 8w x 6h:
\[
\text{Volume}_a = 10 \times 8 \times 6 = 480 \, \text{cubic units}
\]

**b)** Box with dimensions 12l x 10w x 7h:
\[
\text{Volume}_b = 12 \times 10 \times 7 = 840 \, \text{cubic units}
\]

**c)** Box with the same dimensions as box b (12l x 10w x 7h):
\[
\text{Volume}_c = 12 \times 10 \times 7 = 840 \, \text{cubic units}
\]

Now we compare the volumes:
- Volume of Box a = 480 cubic units
- Volume of Box b = 840 cubic units
- Volume of Box c = 840 cubic units

Therefore, boxes **b** and **c** have the largest volume, both measuring 840 cubic units.