Question

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

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Answer 1

$\huge{\boxed{\tt{\blue{Question:}}}}$

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

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

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

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

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.

${\huge{\underline{\small{\mathbb{\pink{HOPE\:HELPS\:UH :)}}}}}}$

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Answer 2

$\huge{\boxed{\tt{\blue{Question:}}}}$

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

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

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.