Question

Im awful with dis TwT pls help me it makes me understand better and learn

also:
- surface area
- lateral area
- volume
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Answer 1

Surface Area: 1,200 units²

Lateral Area: 624 units²

Volume: 960 units³

Explanation:

Surface Area is the area of all the faces of the object.

Lateral Area is the area of all the faces of the object NOT INCLUDING the base.

Volume is how much the object can hold.

Using the formula
`(1)/(2) *b*h` the area of ONE of the lateral faces of the pyramid is

0.5×24×13=

12×13=

156 units²

156 un² × 4 lateral faces =

624 un²

The lateral surface area is 624 units²

Since the lateral surface area + base is the total surface area:

The base is 24² or 576 units²

624 un²+576 un²=

1,200 units² is the total surface area.

Volume formula for a pyramid is
`(1)/(3) *b*h`

We know the base is 576 units².

We don't know the height yet.

We can use the Pythagorean Theorem to find the height of our pyramid.

a²+b²=c²

Half of 24 is 12

12²+b²=13²

144+b²=169

Subtract 144 from both sides.

b²=25

Square root both sides.

b=
`√(25)`

b=5

The height of our pyramid is 5.

`(1)/(3) *576*5=\\\\192*5=\\\\960`

Our volume for the pyramid is 960 units³

Hope you understand more!