A rectangular sheet of tin 30 cm by 24 cm has equal squares of side x cut from each corner to fold into an open box. If the base area of the box is 280 sq cm, which equation gives x? Base dimensions shrink by 2x each.

Question

Accepted Answer

(30-2x)(24-2x) = 280. After cutting x from both ends of each side, base is (30-2x) by (24-2x). Base area = (30-2x)(24-2x) = 280.

A rectangular sheet of tin 30 cm by 24 cm has equal squares of side $x$ cut from each corner to fold into an open box. If the base area of the box is 280 sq cm, which equation gives $x$ ?
Base dimensions shrink by $2 x$ each.

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More Class 10 Quadratic Word Problems practice

A rectangular sheet of tin 30 cm by 24 cm has equal squares of side x cut from each corner to fold into an open box. If the base area of the box is 280 sq cm, which equation gives x?Base dimensions shrink by 2x each.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

A rectangular sheet of tin 30 cm by 24 cm has equal squares of side $x$ cut from each corner to fold into an open box. If the base area of the box is 280 sq cm, which equation gives $x$ ?
Base dimensions shrink by $2 x$ each.