1. EOC Practice 1. Describe the cross section. a. Cube b. trapezoid
c. pentagon d. square

2. EOC Practice
2. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the boxes. Find the lateral area and the surface area of the box to the nearest whole number.
Lateral Area
Base Area
𝑺.𝑨. =𝑷𝒉+𝟐𝑩 𝒉= =𝒘
𝑺.𝑨. =𝑷𝒉+𝟐𝒍𝒘 𝒍=
=(𝟏𝟒+𝟏𝟒+𝟕+𝟕)(𝟏.𝟔𝟔) +𝟐𝒍𝒘
=𝟔𝟗.𝟕𝟐+𝟐𝒍𝒘
=𝟕𝟎+𝟐(𝟏𝟒)(𝟕)
=𝟐𝟔𝟔
a. 35 cm ; 364 cm b. 70 cm ; 364 cm
c. 35 cm ; 266 cm d. 70 cm ; 266 cm

3. EOC Practice
3. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
𝑺.𝑨. =𝑷𝒉+𝟐𝑩
𝑺.𝑨. =𝑷𝒉 + 𝟐 𝟏 𝟐 𝒃𝒉
=(𝟐+𝟓+𝟓.𝟑𝟗)(𝟐𝟔) + 𝟐 𝟏 𝟐 𝒃𝒉
=𝟑𝟐𝟐+𝟐 𝟏 𝟐 (𝟓)(𝟐)
=𝟑𝟑𝟐 𝒎 𝟐
a. 322 m² ; 327 m² b. 296 m² ; 342 m²
c. 296 m² ; 332 m² d. 322 m² ; 332 m²

4. EOC Practice 4. Find the surface area of the cylinder in terms of 𝜋.
𝑺.𝑨. = 𝑷𝒉+𝟐𝑩
𝒓=𝟕
𝑺.𝑨. = 𝟐𝒓𝝅𝒉+𝟐𝝅 𝒓 𝟐
𝑺.𝑨. = 𝟐𝒓𝝅𝒉+𝟐𝝅 𝒓 𝟐
𝑺.𝑨. = 𝟐(𝟏𝟖)𝝅(𝟕)+𝟐𝝅 (𝟕) 𝟐
𝑺.𝑨. = 𝟐𝟓𝟐𝝅+𝟗𝟖𝝅
𝑺.𝑨. = 𝟑𝟓𝟎𝝅
a. 350𝜋 cm² b. 896 𝜋 cm²
c. 602 𝜋 cm² d. 644 𝜋 cm²

5. EOC Practice
5. Find the surface area of the regular pyramid shown to the nearest whole number.
𝑺.𝑨. = 𝟏 𝟐 𝑷𝓵+𝑩
𝑺.𝑨. = 𝟏 𝟐 𝟓∙𝟒 𝟕+(𝟓∙𝟓) =𝓵
𝑺.𝑨. = 𝟗𝟓 =𝒘 𝒃=
a. 165 ft² b. 95 ft²
c. 70 ft² d. 28 ft²

6. EOC Practice
6. Find the slant height 𝑥 of the pyramid shown, to the nearest tenth.
𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
𝓵 𝟐 = 𝟏 𝟐 𝒃 𝟐 + 𝒉 𝟐 =𝒉 =𝓵
𝓵 𝟐 = 𝟏.𝟓 𝟐 + (𝟕) 𝟐
𝟏.𝟓 =𝒘
𝓵 𝟐 =𝟓𝟏.𝟐𝟓 𝒃=
𝓵= 𝟓𝟏.𝟐𝟓
𝓵=𝟕.𝟏𝟓𝟖𝟗
a. 6.3 mm b. 7.6 mm
c. 4.1 mm d. 7.2 mm

7. EOC Practice
7. Find the lateral area of a regular pentagonal pyramid that has a slant height of 14 in. and a base side length of 6 in.
𝑳.𝑨. = 𝟏 𝟐 𝑷ℓ
𝑳.𝑨. = 𝟏 𝟐 (𝟓)(𝟔)(𝟏𝟒)
𝓵=𝟏𝟒=𝒉
𝑳.𝑨. = 𝟐𝟏𝟎
𝒃=𝟔
a. 210 in² b. 240 in²
c. 42 in² d. 420 in²

8. EOC Practice 8. Find the surface area of the cone in terms of 𝜋.
𝑺.𝑨. = 𝟏 𝟐 𝑷𝓵+𝑩
𝑺.𝑨. = 𝟏 𝟐 𝟐𝝅𝒓 𝓵+𝝅 𝒓 𝟐
𝑺.𝑨. = 𝟏 𝟐 𝟐𝝅 𝟑 (𝟏𝟕)+𝝅 (𝟑) 𝟐
𝑺.𝑨. = 𝟔𝟎𝝅
a. 111 𝜋 cm² b. 57 𝜋 cm²
c. 60 𝜋 cm² d 𝜋 cm²

9. EOC Practice
9. Find the slant height of the cone to the nearest whole number.
𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
𝓵 𝟐 = 𝒉 𝟐 + 𝒓 𝟐
𝓵 𝟐 = (𝟏𝟗) 𝟐 + (𝟏𝟎) 𝟐 𝓵 𝟏𝟗
𝓵 𝟐 =𝟒𝟔𝟏
𝓵= 𝟒𝟔𝟏
𝓵=𝟐𝟏.𝟒𝟕
a. 21 m b. 19 m
c. 24 m d. 23 m

10. EOC Practice
*** Find the Surface Area of the sphere shown. Give each answer rounded to the nearest cubic unit. 
𝑺.𝑨. =𝟒𝝅 𝒓 𝟐
𝑺.𝑨. =𝟒(𝟑.𝟏𝟒) (𝟕) 𝟐
𝑺.𝑨. =𝟔𝟏𝟓.𝟒𝟒
𝑺.𝑨. =𝟔𝟏𝟓 𝒄𝒎²

11. EOC Practice
10. Find the volume of the given prism. Round to the nearest tenth if necessary.
𝑽=𝑩𝒉
𝑽=𝒍𝒘𝒉
𝑽=𝒃𝒘𝒉
𝑽= (𝟏𝟑.𝟐)(𝟑.𝟗)(𝟔)
𝑽=𝟑𝟎𝟖.𝟖𝟖
a cm³ b cm³
c cm³ d cm³

12. EOC Practice
11. Find the volume of the given prism. Round to the nearest tenth if necessary.
𝑽=𝑩𝒉
𝑽= 𝟏 𝟐 𝒃𝒉 𝒉
𝑽= 𝟏 𝟐 (𝟏)(𝟐) 𝟏𝟕
𝑽=𝟏𝟕 𝒎 𝟑
a. 17 m³ b. 34 m³
c. 8.5 m³ d. 1 m³

13. EOC Practice
12. The volume of a cylinder is 980𝜋 in. The height of the cylinder is 20 in. What is the radius of the cylinder?.
𝑽=𝑩𝒉
𝑽=𝟗𝟖𝟎𝝅
𝑽=𝝅 𝒓 𝟐 𝒉
𝒉=𝟐𝟎
𝟗𝟖𝟎𝝅=𝝅 𝒓 𝟐 (𝟐𝟎)
𝒓= ?
𝟐𝟎𝝅
𝟐𝟎𝝅
𝟒𝟗= 𝒓 𝟐
𝟕=𝒓
a. 7 in b. 49 in
c. 327 in d. 18 in

14. EOC Practice 13. Find the volume of the cylinder in terms of 𝜋. 𝑽=𝑩𝒉
𝑽=𝝅 𝒓 𝟐 𝒉
𝑽=𝝅 𝟑 𝟐 (𝟔)
𝑽=𝟓𝟒𝝅
h = 6 in. and r = 3 in.
h = 6 in. and r = 3 in.
a. 27𝜋 in.³ b. 27𝜋 in.³  
c. 54𝜋 in.³ d. 324𝜋 in.³

15. EOC Practice 14. Find the volume of the cylinder in terms of 𝜋. 𝑽=𝑩𝒉
𝑽=𝝅 𝒓 𝟐 𝒉
𝑽=𝝅 𝟖 𝟐 (𝟏𝟏)
𝑽=𝟕𝟎𝟒𝝅
a. 704𝜋 in.³ b. 88𝜋 in.³  
c. 176𝜋 in.³ d. 352𝜋 in³

16. EOC Practice 15. Find the height of the cylinder. 𝑽=𝑩𝒉 𝑽=𝝅 𝒓 𝟐 𝒉
𝟐𝟕𝟏.𝟒=𝟑.𝟏𝟒 (𝟔) 𝟐 𝒉
𝟐𝟕𝟏.𝟒=𝟏𝟏𝟑.𝟎𝟒𝒉
𝟐.𝟒=𝒉
a. 2.4 in. b. 7.2 in. 
c in. d. 4.8 in.

17. EOC Practice
16. Find the volume of the composite space figure to the nearest whole number.
𝑽= 𝑩𝒉
𝑽= 𝟏 𝟐 (𝝅 𝒓 𝟐 )+𝒍𝒘 𝒉
𝑽= 𝟏 𝟐 (𝝅 𝒓 𝟐 𝒉 )+𝒃𝒘𝒉
𝑽= 𝟏 𝟐 𝟑.𝟏𝟒× 𝟒.𝟓 𝟐 +𝟗×𝟔 𝟏𝟏
𝑽= 𝟑𝟏.𝟕𝟗𝟐𝟓+𝟓𝟒 𝟏𝟏
𝑽=𝟗𝟒𝟑.𝟕𝟏 𝒎𝒎 𝟑
a. 416 mm³ b. 705 mm³  
c mm³ d. 944 mm³

18. EOC Practice
17. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
𝑽= 𝟏 𝟑 𝑩𝒉
𝑽= 𝟏 𝟑 𝒍𝒘𝒉
𝑽= 𝟏 𝟑 (𝟏𝟏)(𝟏𝟏)(𝟏𝟓)
𝑽=𝟔𝟎𝟓
a. 126 cm³ b cm³
c. 605 cm³ d. 55 cm³

19. EOC Practice
18. Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
𝑽= 𝟏 𝟑 𝑩𝒉
𝒄 𝟐 = 𝒂 𝟐 + 𝒃 𝟐
𝓵 𝟐 = 𝒉 𝟐 + 𝒓 𝟐
𝑽= 𝟏 𝟑 𝒍𝒘𝒉
𝟏𝟕 𝟐 = 𝒉 𝟐 + 𝟖 𝟐
𝟐𝟖𝟗= 𝒉 𝟐 +𝟔𝟒
𝑽= 𝟏 𝟑 (𝟏𝟔)(𝟏𝟔)(𝟏𝟓)
𝟐𝟐𝟓= 𝒉 𝟐
𝑽=𝟏𝟐𝟖𝟎
𝟐𝟐𝟓 =𝒉
𝟏𝟓=𝒉
a ft³ b ft³  
c ft³ d ft³

20. EOC Practice
19. Find the volume of the right cone shown as a decimal rounded to the nearest tenth
𝑽= 𝟏 𝟑 𝑩𝒉
𝑽= 𝟏 𝟑 (𝝅 𝒓 𝟐 )𝒉
𝑽= 𝟏 𝟑 𝝅 𝟗 𝟐 𝟐𝟔
𝑽= 𝟐𝟐𝟎𝟓.𝟑𝟗
a m³ b m³  
c m³ d m³

21. EOC Practice
20. Find the volume of the oblique cone shown. Round to the nearest tenth.
𝑽= 𝟏 𝟑 𝑩𝒉
𝑽= 𝟏 𝟑 (𝝅 𝒓 𝟐 )𝒉
𝑽= 𝟏 𝟑 𝝅 𝟔.𝟓 𝟐 𝟏𝟔
𝑽= 𝟕𝟎𝟕.𝟗𝟎
a in.³ b in.³  
c in.³ d in.³

22. EOC Practice
21. Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit. 
𝑽= 𝟒 𝟑 𝝅 𝒓 𝟑
𝑽= 𝟒 𝟑 𝝅 (𝟕) 𝟑
𝑽=𝟏𝟒𝟑𝟔.𝟕𝟓
a. 11,494 cm³ b. 359 cm³  
c. 1,437 cm³ d. 205 cm³

23. EOC Practice
22. The volume of a sphere is 5000𝜋 m . What is the surface area of the sphere to the nearest square meter?  
𝑽= 𝟒 𝟑 𝝅 𝒓 𝟑
𝑺.𝑨. =𝟒𝝅 𝒓 𝟐
𝑺.𝑨. =𝟒𝝅 (𝟏𝟓.𝟓𝟑𝟔𝟏) 𝟐
𝟓𝟎𝟎𝟎𝝅= 𝟒 𝟑 𝝅 𝒓 𝟑
𝑺.𝑨. =𝟑𝟎𝟑𝟑.𝟏𝟒𝟗
𝟑𝟕𝟓𝟎= 𝒓 𝟑
𝟑 𝟑𝟕𝟓𝟎 = 𝒓
𝟏𝟓.𝟓𝟑𝟔𝟏= 𝒓
a. 62,832 m² b m²  
c m² d. 195 m²