Work out the surface area of the cuboid - OCR - GCSE Maths - Question 12 - 2023 - Paper 1

The surface area (SA) of a cuboid can be calculated using the formula:

$SA = 2(lw + lh + wh)$

where:

• l = length
• w = width
• h = height

Plugging in the values:

• Length (l) = 6 cm
• Width (w) = 4 cm
• Height (h) = 5 cm

Calculating each component:

1. $lw = 6 \times 4 = 24 \text{ cm}^2$
2. $lh = 6 \times 5 = 30 \text{ cm}^2$
3. $wh = 4 \times 5 = 20 \text{ cm}^2$

Then we sum these areas:

$lw + lh + wh = 24 + 30 + 20 = 74 \text{ cm}^2$

Finally, multiply by 2:

$SA = 2 \times 74 = 148 \text{ cm}^2$