Question

guided practice surface areas of prisms and cylinders type your answer and then click or tap done. use the net to find the surface area of the prism. in²

Explanation:

Step1: Identify net shapes

The net has 5 rectangles: two small (2×10), one middle (4×10), two side (2×4).

Step2: Calculate area of each shape

Small rectangles: $2×(2×10)=40$
Middle rectangle: $4×10=40$
Side rectangles: $2×(2×4)=16$
Total surface area: $40+40+16=96$? Wait, correction: prism dimensions are length=10, width=2+4+2=8? No, net for rectangular prism: faces are 2(lw + lh + wh). From 3D figure: length=10, width=2, height=4.
Surface area formula: $2(lw + lh + wh)$
Substitute values: $2(10×2 + 10×4 + 2×4)=2(20+40+8)=2×68=136$? Wait net: top/bottom (2×4 each: 2×8=16), front/back (10×4 each: 2×40=80), left/right (10×2 each:2×20=40). Total:16+80+40=136.
Final correction: Net shows 2×10 (two sides: 2×20=40), 4×10 (one front:40), 2×10 (two sides? No net has 5 rectangles: two vertical 2×10, one middle 4×10, two horizontal 2×4. So total: 2×(2×10)+4×10+2×(2×4)=40+40+16=96? No, 3D prism: length=10, width=2, height=4. Surface area=2(10×2 +10×4 +2×4)=2(20+40+8)=136.
Correct answer:136 in².

Step1: Use surface area formula

Rectangular prism: $2(lw + lh + wh)$

Step2: Substitute values

$l=10, w=2, h=4$
$2(10×2 +10×4 +2×4)=2(20+40+8)=136$

Answer:

160 in²