Question

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some .

40) A 5m×3m×4m rectangular prism

41) A cube with edge of 6 ft

42) A cylinder with a height of 14 cm and base Diameter of 10 cm

43) A triangular prism with a base area of 15 square inches and height of 12 inches .

44) A cylinder with a base circumference of 8pi and height 7

45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Answer 1

volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft