A container shape as a rectangular prism can hold 840 wooden cube blocks with edge lengths of 1/2 feet. What is the volume of the container?

Respuesta :

we know that
volume of one wooden cube blocks=(1/2)³=1/8 ft³

volume rectangular prism=840*(1/8)=105 ft³

the answer is 105 ft³
The first thing we should know is that the volume of a cube by definition is:
 V = L ^ 3
 Where:
 L: side.
 We have then that the volume of a cube is:
 V = (1/2) ^ 3
 V = 1/8
 Then, the prism volume is:
 Vtotal = 840 * V
 Vtotal = 840 * (1/8)
 Vtotal 105 feet ^ 3
 Answer:
 the volume of the prism is:
 
Vtotal 105 feet ^ 3