Question

What the lateral and surface area of this figure

Answer 1

Answer:

Lateral Surface Area = 314^2 inch = 314.86 square inch

To find Lateral Area

First we square two of the sides of the top to find the hypotenuse which is also the height of the side triangles.

Here we take 5^2 6^2 = 25 +36 = 61

as a decimal √61 ≈ 7.8102

7.8102 x 5 = 39.051 is the Surface area of the top of the shape we will call this p.

Therefore Surface area =, b x h + p x l  = 30 x 3 =90 + (40.81 x 6)

=224.86 +90 = 314.86^2 inch = Lateral SA

p= b+h+c = 5 x 6 =30  + 3 + 7.81 = 40.81sq2

Step-by-step explanation:

6 x 5 =35 x 2 = 70

3 x 5 =15 x 2 = 30

6 x 3 = 18 x 2 = 36

              Area only if base and top was the same    =  +136cm^2

This area is invalid. So it is really important to learn hypotenuse.

Volume is much easier and can guide you for reverse workings more for same sides. The shape above has not got the same sides. There is no surface area only lateral area at top.

V= 45^3inch = 45 cube inch

Just like a rectangle box but half its size as all opposite sides are the same. and the top and base can create a square by using the sides.

To do ths we half the end area.

6 x 3 x 5 = 18 x 5 = 90 sq3

half of this is 45 cube inch volume.