The dimensions of a box are 60cm 54 cm into 30 cm how many small cubes of side 6 CM can be placed in a box
Answers
Find the number of cubes that can be placed length-wise:
Number of cubes = 60 ÷ 6 = 10
Find the number of cubes that can be placed breadth-wise:
Number of cubes = 54 ÷ 6 = 9
Find the number of cubes that can be placed height-wise:
Number of cubes = 30 ÷ 6 = 5
Total number of cubes = 10 x 9 x 5 = 450
Answer: 450 cubes can be placed in the box.
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Alternative Solution:
Find the volume of the box
Volume of the box = Length x Breadth x Height
Volume of the box = 60 x 54 x 30 = 97200 cm³
Find the volume of the cube
Volume of the cube = Length x Length x Length
Volume of the cube = 6 x 6 x 6 = 216 cm³
Find the number of cubes:
Number of cubes = 97200 ÷ 216 = 450
Answer: 450 cubes can be placed in the box.
Dimensions of box (cuboid)=60cmx54cmx30cm
Volume of box =60cmx54cmx30cm=97200 cm³
Volume of side 6cm=6x6x6=216 cm²
No. of cubes can be cut =9700/210=450