if the total surface area of cube is486cm^2 then find lateral surface area and volume
Answers
Answer: hey mate here is ur answer mark it as brainliest
Step-by-step explanation:
Total surface area = 486 cm²
⇒ 6 × x² = 486
⇒ 6x² = 486
⇒ x² = 486 / 6
⇒ x² = 81
⇒ x = √81
⇒ x = 9
Hence, the side is 9 cm.
csa of cube =4s2
=4*9 square
=4*81
324 cm2 is the lsa of cube
∴ Volume of Cube = side³
= ( 9 )³ cm³
= ( 9 × 9 × 9 ) cm³
= 729 cm³
Hence, the Volume of Cube is 729 cm³.
Answer:
total surface area of cube = 6a^2
486cm ^2 = 6a^2
a^2 = 486/6
a = 9cm
lateral surface area of cube = 4a^2
= 4 ×9×9
= 324 cm ^2
volume of cube = a^3
= 9cm^3
=9cm × 9cm× 9cm
=729cm^3