Question

find the lateral surface area of a cubes if its length measures 13.5

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Answer 1

➤ Gɪᴠᴇɴ :-

• Edge of cube (a) = 13.5 cm

➤ᴛᴏ ғɪɴᴅ :-

• Lateral Surface Area (L. S. A.)

➤ sᴏʟᴜᴛɪᴏɴ :-

We know that,

Lateral surface area of cube = 4a²

, where a = edge

➮ 4a² = 4(13.5)²

➮ 4 × 182.25

➮ 729 cm²

Hence,

• Lateral surface area of cube is 729 cm²

➲ Mᴏʀᴇ ғᴏʀᴍᴜʟᴀs :-

➥ ᴄᴏɴᴇ :-

• Total Surface Area (T. S. A) = 6a²
• Volume = a³
• Diagonal = √3a

Answer 2

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

$\:\:$

$\green{\underline \bold{Given :}}$

$\:\:$

• Side of cube = 13.5 units

$\:\:$

$\red{\underline \bold{To \: Find:}}$

$\:\:$

• Lateral surface area of a cube

$\:\:$

$\large{\orange{\underline{\tt{Solution :-}}}}$

$\:\:$

$\:\:$

Firstly let us understand what is lateral surface area.

$\:\:$

The lateral surface area of a 3-dimensional object is the surface area of all the sides excluding the base and top sides.

$\:\:$

$\purple{\bold{Lateral \: surface \: area \: of \: cube :}}$

$\:\:$

$\red{\bold{4a^{2}}}$ [ a = length of side ]

$\:\:$

So,

$\:\:$

$\sf \longmapsto LSA = 4(13.5)^2$

$\:\:$

$\sf \longmapsto LSA = 4(182.25)$

$\:\:$

$\bf \dashrightarrow LSA = 729 \: sq \: unit$

$\:\:$

$\rule{200}2$

Surface area of cube =$\rm 6a^2$

$\:\:$

Volume of cube = $\rm a^3$

$\rule{200}5$