Question : What is the total surface area of a cuboid whose length, breadth, and height are 7 cm, 5 cm, and 9 cm, respectively?
Option 1: 190 cm2
Option 2: 403 cm2
Option 3: 286 cm2,
Option 4: 386 cm2
Correct Answer: 286 cm 2,
Solution :
The total surface area $A$ of a cuboid, where $l$ is the length, $b$ is the breadth, and $h$ is the height of the cuboid.
$A = 2(lb + bh + hl)$
Substituting $l$ = 7 cm, $b$ = 5 cm, and $h$ = 9 cm into the formula,
$A = 2(7 \times 5 + 5 \times 9 + 7 \times 9) = 2(35 + 45 + 63) = 2 \times 143 = 286 \, \text{cm}^2$
Hence, the correct answer is 286 cm
2
.
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