Question

Oh lord help q-q
I have like no time left-

Answer 1

(Triangular pyramid)

Lateral area = 1650
`m^(2)`

Total surface area = 1860.1
`m^(2)`

(Triangular prism)

Volume = 660
`cm^(3)`

Explanation:

For the triangular pyramid

Area of triangle =
`(1)/(2)` × base × height

Area of the base =
`(1)/(2)` × 22 × 19.1 = 210.1

Area of the sides =
`(1)/(2)` × 22 × 50 = 550

Number of sides (excluding base) = 3

∴ Total Area = 210.1 + (550 × 3)

= 210.1 + 1650 = 1860.1
`m^(2)`

Lateral Area = (550 × 3) = 1650
`m^(2)`

For the triangular prism

Area of the triangle =
`(1)/(2)` × 12 × 5 = 30

Volume = Area x Height

Volume = 30 × 22 = 660
`cm^(3)`