Question

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Answer 1

B. 354 cm²

Explanation:

We Take

30 + 105 + 84 + 105 + 30 = 354 cm²

So, the answer is B. 354 cm²

Answer 2

C. 294 cm²

Explanation:

The lateral surface area of a three-dimensional object is the total surface area of its lateral faces only. The lateral surface area excludes the areas of the bases (top and bottom faces).

A triangular prism is a three-dimensional geometric solid that has two congruent triangular bases and three rectangular or parallelogram faces connecting the corresponding sides of the two triangles.

The given net is the net of a triangular prism.

In the given triangular prism, the lateral surface area is the sum of the areas of the three rectangular sides, excluding the top and bottom triangular bases.

`\begin{aligned}\textsf{Lateral surface area}&=\sf B+C+D\\&=\sf 105 + 84 + 105\\&=\sf 189+105\\&= \sf 294\; cm^2\end{aligned}`

Therefore, the lateral surface area of the given net is 294 cm².