# Geometry

## Educators

CC

### Problem 1

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Amrita B.

### Problem 2

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Mitchell R.

### Problem 3

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Amrita B.

### Problem 4

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Mitchell R.

### Problem 5

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Amrita B.

### Problem 6

Exercises $1-6$ refer to rectangular solids with dimensions $l, w,$ and $h .$ Complete the table.

Mitchell R.

### Problem 7

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Amrita B.

### Problem 8

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Mitchell R.

### Problem 9

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Amrita B.

### Problem 10

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Mitchell R.

### Problem 11

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Amrita B.

### Problem 12

Exercises $7-12$ refer to cubes with edges of length e. Complete the table.

Mitchell R.

### Problem 13

Find the lateral area of a right pentagonal prism with height 13 and base edges $3.2,5.8,6.9,4.7,$ and 9.4 .

Amrita B.

### Problem 14

A right triangular prism has lateral area 120 $\mathrm{cm}^{2}$ . If the base edges are $4 \mathrm{cm}, 5 \mathrm{cm},$ and 6 $\mathrm{cm}$ long, find the height of the prism.

Mitchell R.

### Problem 15

If the edge of a cube is doubled, the total area is multiplied by $\frac{?}{4}$ and the volume is multiplied by

Amrita B.

### Problem 16

If the length, width, and height of a rectangular solid are all tripled, the lateral area is multiplied by $\underline{\text { ? }}$ , the total area is multiplied by $\underline{\text { ? }},$ and the volume is multiplied by ?

Mitchell R.

### Problem 17

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Equilateral triangle with side $8 ; h=10$

Amrita B.

### Problem 18

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Triangle with sides $9,12,15 ; h=10$

Mitchell R.

### Problem 19

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Isosceles triangle with sides $13.13,10 : h=7$

Amrita B.

### Problem 20

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Isosceles trapezoid with bases 10 and 4 and legs $5 ; h=20$

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### Problem 21

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Rhombus with diagonals 6 and $8 ; h=9$

Amrita B.

### Problem 22

Facts about the base of a right prism and the height of the prism are given. Sketch each prism and find its lateral area, total area, and volume.
Regular hexagon with side $8 ; h=12$

Mitchell R.
The container shown has the shape of a rectangular solid. When a rock is submerged. the water level rises 0.5 $\mathrm{cm} .$ Find the volume of the rock.