Question

1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. A. 1056 cm2 B. 1536 cm2 C. 816 cm2 D. 1344 cm2
2. Use 3.14 for π and round to the nearest tenth.

its 8 and 8

Find the surface area of the cylinder.

A. 2009.6 in.2
B. 401.9 in.2
C. 803.8 in.2
D. 602.9 in.2
3. Find the volume of the cylinder.

A. 1607.7 in.3
B. 2,845.7 in.3
C. 6,430.7 in.3
D. 401.9 in.3
4.Find the volume of a rectangular prism with the following dimensions:


Length = 5 mm

Base = 7 mm

Height = 3 mm

A. 142 mm3
B. 105 mm3
C. 126 mm3
D. 130 mm3
5.Find the volume of the given pyramid.

A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
A. 147 yd3
B. 175 yd3
C. 221 yd3
D. 441 yd3
6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.
A. 324 cm3
B. 108 cm3
C. 36 cm3
D. 152 cm3

Answer 1

We have that

1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm

[surface area]=[area of 4 triangles sides]+[area of square base]
[area of square base]=24*24--------> 576 cm²

[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²

the answer part 1) is option B) 1536 cm²

2. Use 3.14 for π and round to the nearest tenth.
Find the surface area of the cylinder
radius=8 in
height= 8 in
[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²

the answer Part 2) is the option C) 803.8 in²

3. Find the volume of the cylinder.
[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³

the answer Part 3) is the option A.) 1607.7 in.3

4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm

[volume of a rectangular prism]=L*B*H

[volume of a rectangular prism]=5*7*3----------> 105 mm³

the answer part 4) is the option B.) 105 mm3

5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
this question is incorrect

the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or 
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

we will solve the two cases

5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³

the answer Part 5a) is 593.46 yd³


5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³

the answer Part 5b) is 114.33 yd³


6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.

[volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³

the answer Part 6) is the option B.)108 cm³