Canadian Forces Aptitude Test (CFAT) Practice

To determine the total surface area of the larger box after the dimensions have been doubled, we first need to calculate the original dimensions of the box, which are 3 cm wide, 2 cm deep, and 4 cm high. When these dimensions are doubled, the new dimensions become: - Width: \(3 \text{ cm} \times 2 = 6 \text{ cm}\) - Depth: \(2 \text{ cm} \times 2 = 4 \text{ cm}\) - Height: \(4 \text{ cm} \times 2 = 8 \text{ cm}\) The formula for the total surface area of a rectangular box is given by: \[ \text{Surface Area} = 2(w \cdot h + w \cdot d + h \cdot d) \] Substituting the new dimensions into this formula: \[ \text{Surface Area} = 2(6 \cdot 8 + 6 \cdot 4 + 8 \cdot 4) \] Now, calculate each term: - \(6 \cdot 8 = 48\) - \(6 \cdot 4 =