Question

The surface areas of the solids shown above are equal, but their lateralsurface areas are not.A. TrueB. False

Answer 1

Given data:

The given figure of cuboids.

The surface area of the cuboids are,

$\begin{gathered} SA_1=2((3\operatorname{cm})(4\text{ cm)+(4 cm)(5 cm)+(5cm)(3 cm))} \\ =94cm^2 \\ SA_2=2((5\text{ cm)(2 cm)+(2 cm)(5 cm)+(5 cm)(5 cm))} \\ =90cm^2 \end{gathered}$

The lateral surface area of the cuboids are,

$\begin{gathered} LS_1=2((4\text{ cm)(5 cm)+(5 cm)(3 cm))} \\ =70cm^2 \\ LS_2=2((2\text{ cm)(5 cm)+(5 cm)(5 cm))} \\ =70cm^2 \end{gathered}$

The surface areas of the given solids are unequal but lateral surface areas are equal.

Thus, the given statement is false.