A triangular prism has a height of 6 meters and a triangular base with the following dimensions.

Mathematics

2 answers:

Novosadov [1.4K]2 years ago

4 0

The value of B is 48m. squared
This is because the formula for a triangle is (length×hight÷2)

So in this case, multiply 16 and 6 to get 96. Then divide 96 by 2 to get 48m. squared

Reptile [31]2 years ago

4 0

Answer: The correct option is (B) 48 m².

Step-by-step explanation: Given that a triangular prism has a height of 6 meters and a triangular base with the dimensions as shown in the figure.

We are to find the value of B, the area of the base of the prism.

As shown in the figure,

the base of the prism is a triangle with base length 16 m and height 6 m.

We know that

the area of a triangle with base b units and height h units

$A=\dfrac{1}{2}\times b\times h.$

In the given triangular base of the prism, we have

b = 16 m and h = 6 m.

Therefore, the area of the base will be

$B=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 16\times 6=48~\textup{m}^2.$

Thus, the required value of B is 48 m².

Option (B) is CORRECT.

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