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 = 6 cm
• $w$ = Width = 4 cm
• $h$ = Height = 5 cm

Substituting the values into the formula:

$SA = 2((6 imes 4) + (6 imes 5) + (4 imes 5))$

Calculating each term:

• $lw = 6 imes 4 = 24$ cm²
• $lh = 6 imes 5 = 30$ cm²
• $wh = 4 imes 5 = 20$ cm²

Now, summing these values:

$24 + 30 + 20 = 74$

Finally, multiplying by 2:

$SA = 2 imes 74 = 148$

Thus, the surface area of the cuboid is 148 cm².