To calculate the volume of the bookshelf, you can use the formula for the volume of a rectangular prism:
\[ \text{Volume} = \text{length} \times \text{depth} \times \text{height} \]
Plugging in Bertie's measurements:
- Length = 147 cm
- Depth = 15 cm
- Height = 112 cm
Now calculate the volume:
\[ \text{Volume} = 147 , \text{cm} \times 15 , \text{cm} \times 112 , \text{cm} \]
First, calculate \( 147 \times 15 \):
\[ 147 \times 15 = 2205 \]
Next, take that result and multiply by 112:
\[ 2205 \times 112 = 246360 \]
Thus, the volume of the bookshelf is \( 246,360 , \text{cm}^3 \).
However, it appears there was a slight miscalculation. Verifying the multiplication gives us:
\[ 2205 \times 112 = 246,960 \quad \text{(This needs to be verified)} \]
Rechecking:
-
First multiply 147 by 15:
- \( 147 \times 15 = 2205 \)
-
Then multiply this result by 112:
- \( 2205 \times 112 \)
- Breaking it down: \( 2205 \times 112 = 2205 \times (100 + 12) = 220500 + 26460 = 246960\)
Thus, the correct volume is indeed 246,960 cm³.
The correct response option is 246,960 cm cubed.