Step 1: Calculate the volume of the cuboid. The volume of a cuboid is given by the formula length x width x height. So, the volume of the cuboid is 8 cm x 8 cm x 16 cm = 1024 cubic cm.

Step 2: According to the problem, the volume of the cuboid is twice the volume of the cube. So, the volume of the cube is 1024 cubic cm / 2 = 512 cubic cm.

Step 3: The volume of a cube is given by the formula side^3. So, the side of the cube is the cube root of the volume, which is cube root of 512 = 8 cm.

Step 4: The total surface area of a cube is given by the formula 6 x side^2. So, the total surface area of the cube is 6 x 8 cm x 8 cm = 384 square cm.

So, the answer is D. 384 sq. cm.

Question

Step 1: Calculate the volume of the cuboid. The volume of a cuboid is given by the formula length x width x height. So, the volume of the cuboid is 8 cm x 8 cm x 16 cm = 1024 cubic cm.

Step 2: According to the problem, the volume of the cuboid is twice the volume of the cube. So, the volume of the cube is 1024 cubic cm / 2 = 512 cubic cm.

Step 3: The volume of a cube is given by the formula side^3. So, the side of the cube is the cube root of the volume, which is cube root of 512 = 8 cm.

Step 4: The total surface area of a cube is given by the formula 6 x side^2. So, the total surface area of the cube is 6 x 8 cm x 8 cm = 384 square cm.

So, the answer is D. 384 sq. cm.

Knowee AI · Accepted Answer

Step 1: Calculate the volume of the cuboid. The volume of a cuboid is given by the formula length x width x height. So, the volume of the cuboid is 8 cm x 8 cm x 16 cm = 1024 cubic cm.

Step 2: According to the problem, the volume of the cuboid is twice the volume of the cube. So, the volume of the cube is 1024 cubic cm / 2 = 512 cubic cm.

Step 3: The volume of a cube is given by the formula side^3. So, the side of the cube is the cube root of the volume, which is cube root of 512 = 8 cm.

Step 4: The total surface area of a cube is given by the formula 6 x side^2. So, the total surface area of the cube is 6 x 8 cm x 8 cm = 384 square cm.

So, the answer is D. 384 sq. cm.

The dimensions of a cuboid are 8 cm, 8 cm and 16 cm. If the volume of the cuboid is twice the volume of a cube, then find the total surface area of the cube? Ops: A. 548 sq. cm B. 512 sq. cm C. 424 sq. cm D. 384 sq. cm

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