A-solid-rigth-triangular-prism-of-length-12cm-and-a-cross-section-which-is-an-equilateral-triangle-of-6cm-Find-the-total-surface-area-

Question Number 176212 by otchereabdullai@gmail.com last updated on 15/Sep/22

A solid rigth triangular prism of

length 12 cm and a cross section

which is an equilateral triangle of

6 cm . Find the total surface area .

Commented by adhigenz last updated on 15/Sep/22

Area of base = \frac{1}{2} \times 12^{2} \times \sin 60 ° = 36 \sqrt{3} {cm}^{2}

Total surface area = 2 \times area of base + perimeter of base \times length

= 2 \times 36 \sqrt{3} + (6 + 6 + 6) \times 12

= (72 \sqrt{3} + 216) {cm}^{2}

Commented by otchereabdullai@gmail.com last updated on 15/Sep/22

Am much grateful God bless you!