Question

Find the volume of the composed figure. 2 cm 3 cm Enter the correct number in the box. Hint cu cm 9 +

Answer 1

ANSWER

152 cu cm

EXPLANATION

We can divide this figure into two rectangular prisms:

The larger prism's dimensions are 8cm, 8cm, 2cm. Its volume is:

$V_1=8\operatorname{cm}\times8\operatorname{cm}\times2\operatorname{cm}=128\operatorname{cm}^{3}$

The smaller prisim's dimensions are 4cm, 3cm and 2cm. Its volume is:

$V_2=4\operatorname{cm}\times3\operatorname{cm}\times2\operatorname{cm}=24\operatorname{cm}^3$

The total volume of the figure is:

$V=V_1+V_2=128\operatorname{cm}^3+24\operatorname{cm}^3=152\operatorname{cm}^3$