2 cubes each of volume 64cm^3 are joined end to end. Find the surface area and volume of the resulting cuboid

Sure, let's solve this step by step.

Step 1: Find the side of each cube The volume of a cube is given by side^3. So, if the volume is 64 cm^3, the side of the cube is the cube root of 64, which is 4 cm.

Step 2: Find the dimensions of the resulting cuboid When the cubes are joined end to end, the length of the resulting cuboid becomes 4 cm + 4 cm = 8 cm. The width and the height remain the same as the side of the cube, which is 4 cm.

Step 3: Find the volume of the resulting cuboid The volume of a cuboid is given by length * width * height. So, the volume of the resulting cuboid is 8 cm * 4 cm * 4 cm = 128 cm^3.

Step 4: Find the surface area of the resulting cuboid The surface area of a cuboid is given by 2(lengthwidth + widthheight + height*length). So, the surface area of the resulting cuboid is 2(8 cm * 4 cm + 4 cm * 4 cm + 4 cm * 8 cm) = 2(32 cm^2 + 16 cm^2 + 32 cm^2) = 2(80 cm^2) = 160 cm^2.