Question

EXTRA POINTS

Answer 1

Answer:

Step-by-step explanation:

The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.

The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.

The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.

The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.

The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.

Answer 2

Answer: 120 cm cubed

Step-by-step explanation:

vol = 1/3 x base area x ht

9x4 = 36 = base area

1/3 x 36 = 12

12x10 = 120