Question

geometry word problems

1. sarah is filling a rectangular fish tank that is 30 inches long, 12 inches wide, and 18 inches tall.

how much water can the tank hold?
$2\cdot30\cdot12+2\cdot30\cdot18+2\cdot12\cdot18$
$6480 in$

1. alex is wrapping a gift box that is shaped like a cube with sides of 8 inches. how much wrapping paper is needed to cover the box?
2. a gardener is planting flowers in a circular flower bed with a radius of 5 feet.

how much space is available to plant the flowers?

1. lisa is putting a fence around her rectangular garden that is 20 feet long and 15 feet wide.

what is the perimeter of the garden?

1. a swimming pool is 25 meters long, 10 meters wide, and 2 meters deep.

how much water is in the pool?

1. tom is painting the walls of a rectangular room that is 12 feet long, 10 feet wide, and 8 feet high. how much paint is needed to cover the walls?

Explanation:

Step1: Calculate tank volume

$V = 30 \times 12 \times 18$
$V = 6480$

Step2: Calculate cube surface area

$SA = 6 \times 8^2$
$SA = 6 \times 64 = 384$

Step3: Calculate circle area

$A = \pi r^2 = \pi \times 5^2$
$A = 25\pi \approx 78.5$

Step4: Calculate rectangle perimeter

$P = 2 \times (20 + 15)$
$P = 2 \times 35 = 70$

Step5: Calculate pool volume

$V = 25 \times 10 \times 2$
$V = 500$

Step6: Calculate room wall area

$A = 2\times(12\times8) + 2\times(10\times8)$
$A = 192 + 160 = 352$

Answer:

1. 6480 cubic inches
2. 384 square inches
3. $25\pi$ square feet (or approximately 78.5 square feet)
4. 70 feet
5. 500 cubic meters
6. 352 square feet