Question

The total surface area of this cuboid is 112 cm². Find the value of x. 10 cm length 2 cm width x height​

Answer 1

3 cm

Explanation:

Given dimensions of the cuboid:

• Length (l) = 10 cm
• Width (w) = 2 cm
• Height (h) = x cm

If the total surface area of the cuboid is 112 cm²:

`\begin{aligned}\textsf{Total SA of cuboid}&= 2 (\sf lh +wh + lw)\\\implies 112&=2(10x+2x+10 \cdot 2)\\112&=2(12x+20)\\112&=24x+40\\24x&=72\\x&=3\end{aligned}`

Therefore, the height of the cuboid is 3 cm.