Question

Plz do not delete my questions. I will give you 20 points for these two questions. A thanks. And a 5 star rate. But in order for this to happen you have to make sure to SHOW YOUR WORK and MAKE SURE IT IS RIGHT. Then I will give you all of that.

1. What is the total surface area of this rectangular pyramid?

First picture is for this question.

_______ square feet

2. What is the surface area of the square pyramid below?

Second picture is for this question

96 cm2
122 cm2
132 cm2
144 cm2

Answer 1

For question 2, the answer is 120 cm^2

The formula is SA = b + 1/2 ps
p = perimeter
s = slant height

this is a square, so all the sides are equal. So 6 cm x 4 = 24 cm, this is the perimeter of the base.
then multiply this by the slant height, and you get 192.
192 x 1/2 = 96.
96 + 24 (the area of the base) = 120.

120 = 24 + (1/2 x 24 x 8)

Answer 2

Explanation:

The total surface area of rectangular pyramid is calculate as;

A = 2x(area of triangle with height 8ft and base 12ft) +2x(area of triangle with height 6ft and base 9.5ft)+ area of rectangle

`A = 2*((1)/(2)*(12)*(8))+2*((1)/(2)*(9.5)*(6)) + (12*6)`

`A = 2*((1)/(2)*96)+2*((1)/(2)*57) + (72)`

`A = 2*(48)+2*((1)/(2)*57) + (72)`

`A = 96+2*((1)/(2)*57) + (72)`

`A = 96+57+72`

`A = 225`

Hence, the total surface area of the rectangular pyramid is 225 cm²

The area of square pyramid is calculated as:
`\text{A} = 2(b* l)+b^(2)`

in second figure we can see base 'b' is 6 and lateral height 'l' is 8.

so,

`\text{A} = 2(b* l)+b^(2)`

Put b = 6 and l = 8 in above formula,

`= 2(6*8) + 6^(2)`

`= 2*48 + 36`

`= 96 + 36`

`= 132`

Hence, the surface area of the square pyramid is 132 cm²