Question

The figure below is made of 2 rectangular prisms.
What is the volume of this figure?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Total\:volume=162\:in^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Fiven : }} \\ \tt: \implies Length( l_{1}) = 9 \: in \\ \\ \tt: \implies Breadth( b_{1}) = 5 \: in \\ \\ \tt: \implies Heigth( h_{1}) = 2 \: in \\ \\ \tt: \implies Length( l_{2}) = 9 \: in \\ \\ \tt: \implies Breadth( b_{2}) = 8 \: in \\ \\ \tt: \implies Heigth( h_{1}) = 1 \: in \\ \\ \red{\underline \bold{To \: Find : }} \\ \tt: \implies Volume \: of \: figure ?$

• According to given question :

$\tt \circ \: l_{1} = 9 \: in \\ \\ \tt \circ \: b_{1} = 5 \: in\\ \\\tt \circ \: h_{1} = 2 \: in \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cuboid = l_{1} \times b_{1} \times h_{1} \\ \\ \tt: \implies Volume \: of \: cuboid =9 \times 5 \times 2 \\ \\ \tt: \implies Volume \: of \: cuboid =90 \: {in}^{3} \\ \\ \tt \circ \: l_{2} = 9 \: in \\ \\ \tt \circ \: b_{2} = 8 \: in\\ \\\tt \circ \: h_{2} = 1 \: in \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cuboid = l_{2} \times b_{2} \times h_{2} \\ \\ \tt: \implies Volume \: of \: cuboid =9 \times 8 \times 1\\ \\ \tt: \implies Volume \: of \: cuboid =72\: {in}^{3} \\ \\ \bold{For \: total \: volume : } \\ \tt: \implies Total \: volume = v_{1} + v_{2} \\ \\ \tt: \implies Total \: volume = 90 + 72 \\ \\ \green{\tt: \implies Total \: volume = 162 \: {in}^{3} }$

Answer 2

QUESTION :

The figure below is made of 2 rectangular prisms.

What is the volume of this figure?

SOLUTION :

$\begin{lgathered}\purple{\underline \bold{Fiven : }} \\ \tt: \leadsto Length( l_{1}) = 9 \: in \\ \\ \tt: \leadsto Breadth( b_{1}) = 5 \: in \\ \\ \tt: \leadsto Heigth( h_{1}) = 2 \: in \\ \\ \tt: \leadsto Length( l_{2}) = 9 \: in \\ \\ \tt: \leadsto Breadth( b_{2}) = 8 \: in \\ \\ \tt: \leadsto Heigth( h_{1}) = 1 \: in \\ \\ \blue{\underline \bold{To \: Find : }} \\ \tt: \implies Volume \: of \: figure \: - \end{lgathered}$

$\begin{lgathered}\tt \circ \: l_{1} = 9 \: in \\ \\ \tt \circ \: b_{1} = 5 \: in\\ \\\tt \circ \: h_{1} = 2 \: in \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cuboid = l_{1} \times b_{1} \times h_{1} \\ \\ \tt: \implies Volume \: of \: cuboid =9 \times 5 \times 2 \\ \\ \tt: \implies Volume \: of \: cuboid =90 \: {in}^{3} \\ \\ \tt \circ \: l_{2} = 9 \: in \\ \\ \tt \circ \: b_{2} = 8 \: in\\ \\\tt \circ \: h_{2} = 1 \: in \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cuboid = l_{2} \times b_{2} \times h_{2} \\ \\ \tt: \implies Volume \: of \: cuboid =9 \times 8 \times 1\\ \\ \tt: \implies Volume \: of \: cuboid =72\: {in}^{3} \\ \\ \bold{For \: total \: volume : } \\ \tt: \implies Total \: volume = v_{1} + v_{2} \\ \\ \tt: \implies Total \: volume = 90 + 72 \\ \\ \blue{\tt: \implies Total \: volume = 162 \: {in}^{3} }\end{lgathered}$