Math, asked by singhpriyanshu16303, 11 hours ago

It the length of the cuboid is 10 cm its breaths is 12 cm and height is 5 cm them its Volume is_________
(A) 120 cucm (B) 6o cucm (C) 600cucm (d) 30 cucm.​

Answers

Answered by BrainlyMilitary
29

Given : The length of the cuboid is 10 cm its breadth is 12 cm and height is 5 cm .

Need To Find : Volume of Cuboid .

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⠀⠀⠀⠀⠀⠀⠀Finding Volume of Cuboid :

\dag\:\:\frak{ As,\:We\:know\:that\::}\\\\\qquad\maltese\:\bf Volume\:of\:Cuboid\:\:: \\

\qquad \dag\:\:\bigg\lgroup \sf{Volume _{(Cuboid)} \:: l \times b \times h  \: cu.unit}\bigg\rgroup \\\\

⠀⠀⠀⠀⠀⠀⠀Here , l is the Length of Cuboid, b is the Breadth of Cuboid & h is the Height of Cuboid.

\qquad \dashrightarrow \:\sf Volume _{(Cuboid)} \:=\: l \times b \times h \:\\\\

⠀⠀⠀⠀⠀⠀\underline {\boldsymbol{\star\:Now \: By \: Substituting \: the \: known \: Values \::}}\\

\qquad \dashrightarrow \:\sf Volume _{(Cuboid)} \:=\: l \times b \times h \:\\\\

\qquad \dashrightarrow \:\sf Volume _{(Cuboid)} \:=\: 10 \times 12 \times 5 \:\\\\

\qquad \dashrightarrow \:\sf Volume _{(Cuboid)} \:=\:  120 \times 5 \:\\\\

\qquad \dashrightarrow \:\sf Volume _{(Cuboid)} \:=\:  600 \:\\\\

\qquad \dashrightarrow \underline{\pmb{\purple{\: Volume _{(Cuboid)} \:=\:  600 \:cm ^3 }} }\:\:\bigstar \\\\

⠀⠀⠀⠀⠀\therefore {\underline{ \sf \:Hence, \:Volume \:of\:Cuboid \:is\:\bf 600\:cm^3 }}\\\\

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

\large {\boxed{\sf{\mid{\overline {\underline {\star More\:To\:know\::}}}\mid}}}\\\\

\qquad \leadsto \sf Area_{(Rectangle)} = Length \times Breadth

\qquad \leadsto \sf Perimeter _{(Rectangle)} = 2 (Length + Breadth)

\qquad \leadsto \sf Area_{(Square)} = Side \times Side

\qquad \leadsto \sf Perimeter _{(Square)} = 4 \times Side

\qquad \leadsto \sf Area_{(Trapezium)} = \dfrac{1}{2} \times Height \times (a + b )

\qquad \leadsto \sf Area_{(Parallelogram)} = Base \times Height

\qquad \leadsto \sf Area_{(Triangle)} = \dfrac{1}{2} \times Base \times Height

\qquad \leadsto \sf Area_{(Rhombus)} = \dfrac{1}{2} \times Diagonal _{1}\times Diagonal_{2}

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Answered by nigaranjum18
67

\sf\large\pink{\underbrace{Answer=Option-(C)}}

\bf\large\underline\red{Given:-}

\sf{\longrightarrow Length=10cm}

\sf{\longrightarrow Breadth=12cm}

\sf{\longrightarrow Height=5cm}

\bf\large\underline\orange{To\:Find\:Out:-}

\sf{\longrightarrow Volume\:_{(cuboid)}=?}

\bf\large\underline\green{Solution:-}

\sf{\longrightarrow Volume\:_{(cuboid)}=l*b*h}

\sf{\longrightarrow Volume\:_{(cuboid)}=10*12*5}

\sf{\longrightarrow Volume\:_{(cuboid)}=120*5}

\sf{\longrightarrow Volume\:_{(cuboid)}=600cm^3}

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