Question

▪ The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How
many 4 cm cubes could be put into the box?
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Answer 1

Answer:

Additionalknowledge

Knowledge about Quadratic equations -

★ Sum of zeros of any quadratic equation is given by ➝ α+β = -b/a

★ Product of zeros of any quadratic equation is given by ➝ αβ = c/a

★ A quadratic equation have 2 roots

★ ax² + bx + c = 0 is the general form of quadratic equation

✌️✌️✌️

Answer 2

$\boxed{\huge\underline{\mathtt\red{☆Given:-}}}$

→ Length = 20 cm

→ Breadth = 16 cm

→ Height = 24 cm

$\boxed{\huge\underline{\mathtt\pink{☆To\:Find:-}}}$

No. of 4 cm cubes which could be put into the box

$\boxed{\huge\underline{\mathtt\purple{☆Solution:-}}}$

Volume of box = l × b × h

                         = 20 × 16 × 24

                         = 320 × 24

                         = 7680 cm³

Volume of 4 cm cubes

→ volume of 1 cube = side³

                                 = 4³

                                 = 64 cm³

No. of cubes to put inside the box = $\frac{7680}{64}$

                                                         = 120

∴ 120 cubes of side 4 cm can be put in the box.