Answer:
The side of the new cube will be 6 cm and the ratio between their surface area is 4:1
Step-by-step explanation:
Given:
Side 12cm
⇒Volume of cube =12×12×12=1728cm^3
⇒Volume of smaller cube
= 1/8 of 1728
= 1/8×1728=216cm^3
⇒Let side be S.
∴ (S)^3 = 216
⇒S = 6 cm
Ratio of SA of cubes
= SA of smaller cube/SA of bigger cube
= (12/6)^2 = (2/1)^2 = 4
∴ Ratio between their surface areas 4:1
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Answer:
The side of the new cube will be 6 cm and the ratio between their surface area is 4:1
Step-by-step explanation:
Given:
Side 12cm
⇒Volume of cube =12×12×12=1728cm^3
⇒Volume of smaller cube
= 1/8 of 1728
= 1/8×1728=216cm^3
⇒Let side be S.
∴ (S)^3 = 216
⇒S = 6 cm
Ratio of SA of cubes
= SA of smaller cube/SA of bigger cube
= (12/6)^2 = (2/1)^2 = 4
∴ Ratio between their surface areas 4:1