Question

A flower box in the shape of a right rectangular prism is made of thin metal, shown below. The box has length 90 centimeters (cm), width 45 cm, and height 45 cm. The box is 85 percent filled with soil. Each bag of soil holds 1 cubic (ft^3), and 1 ft^3 is approximately 28,316 cubic centimeters (cm^3). How many bags of soil are needed to finish filling the flower box?

A. 1 bag

B. 2 bags

C. 6 bags

D. 7 bags

Answer 1

The volume of the box is
.. V = (90 cm)*(45 cm)*(45 cm) = 182,250 cm³
The empty 15% of the volume is then
.. empty volume = 0.15*182,250 cm³ = 27,337.5 cm³

This will require
.. (empty volume)/(volume / bag) = 27,337.5 cm³ / (28,316 cm³/bag) ≈ 0.97 bag
to fill.

Selection A. 1 bag is appropriate.

Answer 2

first of all let's find the volume of the flower box
90×45×45=182250
85% is already filled with soil
182250×85÷100=154912.5
so we need to find the volume NOT filled with soil
182250-154912.5=27337.5
now we need to find out how many 28'316 cubic centimeter bags of soil fit in 27337.5 cubic centimeters of space
27337.5÷28316=( approximately) 1
so the awnser is A 1 bag