Question

Find the total surface area of this triangular prism base=5cm 9cm line in the middle 12cm width=20cm 2 lengths on triangle 13cm and 15cm
please help I have 5 mins left on this question

Answer 1

We have been given an image of a triangular prism. We are asked to find the total surface area of the the prism.

The total surface area of the prism wold be sum of areas of all faces.

First of all, we will find the area of base and other two rectangles on sides.

$\text{Area of base}=(5+9)\times 20$

$\text{Area of base}=14\times 20=280$

$\text{Area of other two rectangular faces}=15\times 20+13\times 20$

$\text{Area of other two rectangular faces}=300+260$

$\text{Area of other two rectangular faces}=560$

Now we need to find the area of two triangular faces.

$\text{Area of other two triangular faces}=2\times \frac{1}{2}\times (5+9)\times 12$

$\text{Area of other two triangular faces}=14\times 12$

$\text{Area of other two triangular faces}=168$

$\text{Total surface area}=280+560+168$

$\text{Total surface area}=1008$

Therefore, the total surface area of the prism is 1008 square cm.