Question

a cuboid box of edge 15cm and another box cuboid box 15 cm long 12 cm width and 10 cm high find .
which has greater CSA ​

Answer 1

$\large{\underline{\underline{\boxed{\boxed{\mathfrak{\red{Correct\;Question:}}}}}}}$

A cubical box has each edge 15 cm and another cuboidal box is 15 cm long, 12 cm wide and 10 cm high. Find which has greater CSA ​.

$\large{\underline{\underline{\boxed{\boxed{\mathfrak{\red{Step\: By\; Step\; Explanation:}}}}}}}$

${\bf{\star{\underline{\underline{\green{Case-1.\;In\;Cube:}}}}}}$

${\bf{\star{\underline{\blue{Given:}}}}}$

• Edge of cube = 15 cm

${\bf{\star{\underline{\blue{To\;Find:}}}}}$

• CSA of cube

${\bf{\star{\underline{\blue{Formula\; used:}}}}}$

• CSA of cube = 4a²

$\implies$ CSA pf cube = 4a²

$\implies$ CSA of cube = 4(15)²

$\implies$ CSA of cube = 4 × 225

$\implies$ CSA of cube = 900 cm²

Hence, CSA of cube = 900 cm².

${\bf{\star{\underline{\underline{\green{Case-2.\;In\;Cubiod:}}}}}}$

${\bf{\star{\underline{\blue{Given:}}}}}$

• Length of cuboid = 15 cm
• Width of cuboid = 12 cm
• Height of cuboid = 10 cm

${\bf{\star{\underline{\blue{To\;Find:}}}}}$

• CSA of Cuboid.

${\bf{\star{\underline{\blue{Formula\; used:}}}}}$

• CSA of cuboid = 2(L + B) × H

$\implies$ CSA of cuboid = 2(L + B) × H

$\implies$ CSA of cuboid = 2(15 + 12) × 10

$\implies$ CSA of cuboid = 2(27) × 10

$\implies$ CSA of cuboid = 2 × 270

$\implies$ CSA of cuboid = 540 cm²

Hence, CSA of cuboid = 540 cm².

${\bf{\star{\underline{\pink{Now,\;which\;has\:greater\;CSA\;?}}}}}$

$\implies$ 900 - 540 cm²

$\implies$ 360 cm²

Hence, Cubical box has 360 cm² greater CSA.

Answer 2

Step-by-step explanation:

I hope it's helpful please mark as brainlist