Given the net of the rectangular prism, what is its surface area?

Mathematics

1 answer:

Llana [10]2 years ago

5 0

Answer:

Step-by-step explanation:

Look at the picture.

We have :

4 rectangles 3m × 4m → A₁ = 3 · 4 = 12 m²

2 rectangles 3m × 3m → A₂ = 3 · 3 = 9 m²

Therefore the Surface Area of the rectangular prism is:

S.A. = 4A₁ + 2A₂

Substitute:

S.A. = 4(12) + 2(9) = 48 + 18 = 66

You might be interested in

This trapezium is drawn on a centimetre grid. Find the area of the trapezium.

aivan3 [116]

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

$\rm\implies Side_1 = 7 \ units$

$\rm\implies Side_2 = 3 \ units$

$\rm\implies \perp \ Distance =4 \ units$

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

$\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}$