Question

Need Explanation For This Asap! <3
528 cm2
538 cm2
558 cm2

Answer 1

Area of two triangles

• 2×1/2BH
• BH
• 16(6)
• 96cm²

Area of base rectangle

• 12(16)
• 192cm²

Area of rest two rectangles

• 2LB
• 2(10)(12)
• 120(2)
• 240cm²

Total area

• 240+192+96
• 528cm²

Answer 2

528 cm²

Explanation:

The surface area of this prism comprises:

• 2 congruent triangles (the bases of the prism)
• 2 congruent rectangles (rectangle 1 and 2) - since the triangle has 2 sides of equal length
• 1 rectangle (rectangle 3)

Area of a triangle = 1/2 × base × height

= 1/2 × 16 × 6

= 48 cm²

Area of rectangle 1 / 2 = width × length

= 10 × 12

= 120 cm²

Area of rectangle 3 = width × length

= 16 × 12

= 192 cm²

Total Surface Area = 2 triangles + 2 rectangles + rectangle 3

= (2 × 48) + (2 × 120) + 192

= 96 + 240 + 192

= 528 cm²