Question

The base area and volume of a cuboid are 108cm2 and 702cm3 respectively. Find the height of cuboid

Answer 1

Given :

• Volume of cuboid = 702 cm³
• Base area of cuboid = 108 cm²

To Find :

• Height of cuboid = ?

Solution :

☯ $\underline{\boldsymbol{According\: to \:the\: Question\:now :}}$

$:\implies \sf Volume \: of \: cuboid = Length \times Breadth \times Height$

$:\implies \sf Volume \: of \: cuboid = Base \: area \times Height$

$:\implies \sf 702 = 108 \times Height$

$:\implies \sf Height = \dfrac{702}{108}$

$:\implies \underline{ \boxed{ \sf Height = 6.5 \: cm }}$

$\therefore\:\underline{\textsf{The Height of cuboid is \textbf{6.5 cm}}}.$

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$\underline{\frak{Verification :}}$

$\dashrightarrow\:\:\sf 702 = 108 \times Height$

$\dashrightarrow\:\:\sf 702 = 108 \times 6.5$

$\dashrightarrow\:\:\underline{\boxed{\sf 702 = 702 }}$

$\underline{\frak{Hence \:Verified}}$

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Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

The base area and volume of a cuboid are 108cm2 and 702cm3 respectively. Find the height of cuboid

$\huge{\boxed{\rm{\red{Answer}}}}$

${\bigstar}\large{\boxed{\sf{\pink{Answer}}}}$

$\bold{\blue{\fbox{\red{Height = 6.5 cm}}}}$

${\bigstar}\large{\boxed{\sf{\pink{Given \: that}}}}$

• Volume of Cuboid = 702 cm³
• Base area of Cuboid = 108 cm²

${\bigstar}\large{\boxed{\sf{\pink{To \: find}}}}$

• Height of cuboid

${\bigstar}\large{\boxed{\sf{\pink{Solution}}}}$

$\large\mathtt{\boxed{\underbrace\pink{\overbrace\blue{According \: to \: the \: question}}}}$

$\bold{\blue{\fbox{\green{Volume of cuboid = Length × Breadth × Height}}}}$

$\bold{\blue{\fbox{\green{Volume of cuboid = Base area × Height }}}}$

$\bold{\blue{\fbox{\red{702 = 108 × height}}}}$

$\bold{\blue{\fbox{\red{Height = 702/108}}}}$

$\bold{\blue{\fbox{\red{Height = 6.5 cm}}}}$

$\huge{\boxed{\rm{More \: information}}}$

$\large\underbrace\mathfrak\red{Cuboid}$

A cuboid has six faces and each face is a rectangle. The two faces that are opposite each other are equal. See the Cuboid from the above attachment ↑

• Volume: l × w × h
• Number of edges: 12
• Number of faces: 6
• Number of vertices: 8
• Base shape: Rectangle

$\large\underbrace\mathfrak\red{Cuboid \: properties}$

• Two faces of a cuboid meet each other at an edge.
• The edges of a cuboid meet each other at a vertex.
• Cuboid is a convex polyhedron bounded by six quadrilateral faces, whose polyhedral graph is the same as that of a cube.

@Itzbeautyqueen23

Hope it's helpful

Thank you :)