Short Answer Type QuestionsFour metal cubesur metal cubes with edges 9

1.	Short Answer Type QuestionsFour metal cubesur metal cubes with edges 9 cm, 6 cm, 4 cm and 2 cm are melted together and a singl4 bwcube is formed with a wastage 17 cm3. Find the total surface area of the new cube.
Answer» Volume of all the cubes = 9×9×9 + 6×6×6 + 4×4×4 + 2×2×2= 729 + 216 + 64 + 8= 1017 cm^3 wastage = 17cm^31017 - 17 cm^3=1000 cmm^3 edge of the new cube formed = cube root of 1000=10 cm therefore surface area of cube = 6a^26 × 10^26 × 100600 cm^2 Therefore the answer is 600cm^2

Short Answer Type QuestionsFour metal cubesur metal cubes with edges 9 cm, 6 cm, 4 cm and 2 cm are melted together and a singl4 bwcube is formed with a wastage 17 cm3. Find the total surface area of the new cube.

Answer»

Volume of all the cubes = 9×9×9 + 6×6×6 + 4×4×4 + 2×2×2= 729 + 216 + 64 + 8= 1017 cm^3

wastage = 17cm^31017 - 17 cm^3=1000 cmm^3

edge of the new cube formed = cube root of 1000=10 cm

therefore surface area of cube = 6a^26 × 10^26 × 100600 cm^2

Therefore the answer is 600cm^2