gs1140 LikeyaWilliams Module4 Exercise

1. Solve for C.

A = 3 m C = ___ A2 + B2 = C2 32 + 42 = C2 9 + 16 = C2 √25 = √C2 5 = C

B = 4 m

2. Find the perimeter of the rectangle with a length of 10 m and a width of 2.5 m. P = 2(L x W) P = 2(10 + 2.5) P = 20 + 5 P = 25

3. Find the area of the circle.
A = πr3
A = π42
A = π16
A = 50.26

4. Find the volume of a sphere with a radius of 5 m. Remember that the volume of a sphere is. V= 4/3π 53 V= 4/3π125 V=523.598
5. What is the side length of a rectangular prism with a volume of 144 m3, a width of 2 m, and a height of 6 m? V= 144 m3 W= 2 m H= 6 m V=LxWxH 144= Lx2x6 144=12 144/12 = 12/12 12 m= L

6. Find the area of the triangle. A = ½bh A =½ 4(3) A = ½12 A= 3 m A = 6 B = 4 m 7. Find the length of the hypotenuse. a2+b2=c2 A= ½bh
62+122=c2 36=½b 6
36+144=c2 36=3xb Y = 6 m 36/3=b 12=b
8. Find the volume of the cylinder.
V= πr2 V=π32 V=π9(10) V=282.74

9. Which has more volume—a cube of sides measuring 4 units each or a sphere with a radius of 3 units? A volume of a cube… 43=64cm3. Volume of a sphere… 4π33/3 = 36π =133 cm3. The sphere is greater than the cube.

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