Need help with quiz, i cant afford to fail and i need to double check my answers

1. Find a lateral cone with the radius of 7 ft. and a slant height of 13 ft. Use 3.14 for π and round to the nearest tenth

A. 439.6 ft2
B. 324.5 ft2
C. 571.5 ft2
D. 285.7 ft2

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. 1334 cm2

Use the diagram of the cylinder to answer the question. Use 3.14 for π and round to the nearest tenth.
Find the surface area of the cylinder

A. 2009.6 in2
B. 401.9 in2
C. 803.8 in2
D. 602.9 in2

Use the diagram of the cynlinder to answer the question. Use 3.14 for π and round tot he nearest tenth.
Find the volume of the cylinder
A. 1607.7 in3
B. 2,845.7 in3
C. 6,430.7 in3
D. 401.9 in3

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

A. 142 mm3
B. 105 mm3
C. 126 mm3
D. 130 mm3

Find the area of the given pyramid

147 yd3
175 yd3
221 yd3
441 yd3

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

324 cm3
108 cm3
36 cm3
152 cm3

Find the volume of the given cone.

320 in3
1,244 in3
415 in3
622 in3

Find the volume of a cone with a radius of 10 mm and a height of 6 mm

628 mm3
600 mm3
1,884 mm3
1,253 mm3

1 answer

1. To find the lateral area of the cone, use the formula: π * radius * slant height.
=> 3.14 * 7 * 13
=> 286.38, which when rounded to the nearest tenth is 286.4, which is not in the options provided. I assume there might be a typo in the question or the options since none of them match the correct answer.

2. To find the surface area of a square pyramid, first find the slant height using the Pythagorean theorem:
=> √(height^2 + (base_length / 2)^2)
=> √(16^2 + (24 / 2)^2)
=> √(256 + 144)
=> √400
=> 20 cm
The area of the base is base_length * base_length.
=> 24 * 24
=> 576 cm2
The area of the 4 triangular faces is 0.5 * base_length * slant_height for each triangular face, multiplied by 4.
=> 4 * (0.5 * 24 * 20)
=> 960 cm2
Now add the area of the base and the area of the triangular faces:
=> 576 + 960
=> 1536 cm2
Answer: B. 1536 cm2

3. Please provide the diagram or dimensions of the cylinder as the question states.

4. Please provide the diagram or dimensions of the cylinder as the question states.

5. To find the volume of a rectangular prism, simply multiply its dimensions.
=> length * width * height
=> 5 * 7 * 3
=> 105 mm3
Answer: B. 105 mm3

6. There are no dimensions provided for the pyramid. Please provide dimensions or context for the question.

7. To find the volume of a square pyramid, use the formula: (1/3) * base_area * height.
=> (1/3) * 9 * 9 * 4
=> 108 cm3
Answer: B. 108 cm3

8. No dimensions or context were provided for this cone question. Please provide more information.

9. To find the volume of a cone, use the formula: (1/3) * π * radius^2 * height.
=> (1/3) * 3.14 * 10^2 * 6
=> (1/3) * 3.14 * 100 * 6
=> 628 mm3
Answer: A. 628 mm3