Answer:
1. How much soil is needed to fill a pit that is 5 m deep, 3 m wide, and 10 m long?
l = 10 m
w = 3 m
h = 5 m
V = l x w x h = 10 x 3 x 5 = 150 cm³
2. A swimming pool measures 12 m long, 8 m wide, and 6 m high. How much water does it hold?
l = 12 m
w = 8 m
h = 6 m
V = l x w x h = 12 x 8 x 6 = 576 cm³
3. A Rubik’s cube has a volume of 512 cm3 . What is its side?
All sides of a Rubik's cube are congruent, meaning they are equal. Due to the face that each sides of the Rubik's cube is square in shape.
So,
Since l = w = h, then we need to divide the total by 3.
V/3 = side
512 cm³/3 = side
side = 170.67 cm
4. Myra bought a rectangular-shaped jar with a length of 120 cm, a width of 80 cm, and a height of 100 cm. how much water is needed to fill the jar?
l = 120 cm
w = 80 cm
h = 100 cm
V = l x w x h = 120 x 80 x 100 = 960,000 cm³
5. What is the difference between the volume of a box whose dimensions are 11 cm x 14 cm x 8 cm and 4 cm x 9 cm x 5 cm?
To determine the difference between the volume of a box whose dimensions are 11 cm x 14 cm x 8 cm and 4 cm x 9 cm x 5 cm. Let box A = 11 cm x 14 cm x 8 cm and box B = 4 cm x 9 cm x 5 cm
Calculate them separately:
box A
= 11 cm x 14 cm x 8 cm
= 1232 cm³
box B
= 4 cm x 9 cm x 5 cm
= 180 cm³
So, the difference between the volume of a box whose dimensions are 11 cm x 14 cm x 8 cm and 4 cm x 9 cm x 5 cm is that the first box has a larger volume comapred to the second box.
