The correct option is D 2 cm, 6 cm, 10 cm
Volume of a rectangular prism
= length × width × height
Volume of the rect. prism with dimensions 3 cm, 5 cm, 8 cm:
V = 3 cm × 5 cm × 8 cm = 120 cu cm
Let us now find the volume of the rectangular prisms in the options.
Vol. of a rect. prism with dimensions
5 cm, 6 cm, 8 cm:
V = 5 cm × 6 cm × 8 cm = 240 cu cm
V(2 cm, 6 cm, 10 cm)
= 2 cm × 6 cm × 10 cm
= 120 cu cm
V(2 cm, 8 cm, 10 cm)
= 2 cm × 8 cm × 10 cm
= 160 cu cm
V(3cm, 4 cm, 9 cm)
= 3 cm × 4 cm × 9 cm
= 108 cu cm
∴ The correct answer is 2 cm, 6 cm, 10 cm as the prism with these dimensions has a volume equal to that with dimensions 3 cm, 5 cm and 8 cm, which is 120 cu cm.