Math Assessment I. Solve the following problems
1. A rectangular box ha a length of 18cm, a width of 9 cm and a height of 9cm, Find the volume of the box..
2. Solve for the volume of a Pyramid if its height is 13m, and a base of 120sq.m
3. If a Cylinder's volume is 225cu.m, what will be the volume of a cone with the same base and height of the given cylinder?
4. A conical tent has a height of 2 meters and a radius of 1.5m how much space does it enclose?
5. A pyramid has a volume of 65cu.m, what will be the volume of a rectangular prism with the same height and base of the given pyramid?
pasagot po pleasee
1. A rectangular box ha a length of 18cm, a width of 9 cm and a height of 9cm, Find the volume of the box..
2. Solve for the volume of a Pyramid if its height is 13m, and a base of 120sq.m
3. If a Cylinder's volume is 225cu.m, what will be the volume of a cone with the same base and height of the given cylinder?
4. A conical tent has a height of 2 meters and a radius of 1.5m how much space does it enclose?
5. A pyramid has a volume of 65cu.m, what will be the volume of a rectangular prism with the same height and base of the given pyramid?
pasagot po pleasee
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1. Volume of rectangular box = length x width x height
V = 18cm x 9cm x 9cm
V = 1,458 cubic cm
2. Volume of pyramid = (1/3) x base area x height
V = (1/3) x 120sq.m x 13m
V = 520 cubic m
3. Volume of cone = (1/3) x volume of cylinder
V = (1/3) x 225cu.m
V = 75 cubic m
4. Volume of conical tent = (1/3) x π x radius^2 x height
V = (1/3) x π x 1.5m^2 x 2m
V = 4.71 cubic m
5. Volume of rectangular prism = base area x height
Base area of pyramid = (1/3) x base area of rectangular prism
Therefore, base area of rectangular prism = 3 x base area of pyramid
V = 3 x 65cu.m
V = 195 cubic m