Question

Work out the surface area of the cuboid

below.
Give your answer in cm².
7 cm
18 cm
18 cm

Answer 1

1152 cm^2

Explanation:

length (l)=18 cm

breadth (b)=7 cm

height (h)= 18 cm

To find the surface area of a cuboid, you need to add up the area of all six faces. Let's say the length, width, and height of the cuboid are l, b and h, respectively. Then the surface area of the cuboid can be calculated as:

Surface Area = 2lb + 2bh + 2lh

now substituting value

Surface Area of the cuboid= 2*18*7+2*7*18+2*18*18=1152 cm^2

Answer 2

The surface area of the given cuboid is 1,152 cm².

Explanation:

The formula for the surface area of a cuboid is:

`\boxed{\sf SA = 2(LW + LH + HW)}`

where:

• L = length
• W = width
• H - height

From inspection of the given diagram:

• L = 18 cm
• W = 7 cm
• H = 18 cm

Substitute these values into the formula and solve:

`\begin{aligned}\implies \sf SA&=2(18 \cdot 7 + 18 \cdot 18 + 18 \cdot 7)\\&=2(126 +324 + 126)\\&=2(576)\\&=1152\;\sf cm^2\end{aligned}`

Therefore, the surface area of the given cuboid is 1,152 cm².