godzilla24
27.03.2021 •
Mathematics
Please help! I’m really struggling with this. It’s due in 1 hour.
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Ответ:
a) 120 cm³
b) 184 cm²
Step-by-step explanation:
a) Please see the attached picture for reference.
Volume of prism
= area highlighted in blue ×10cm
Let's find the base area (in blue).
The base of the triangle is 10cm, and its height is 4cm.
Base area
= ½ ×6 ×4
= ½(24)
= 12 cm²
∴ volume of prism
= 12 ×10
= 120 cm³
b) Surface area of prism
= 2(area of blue triangle) +2(orange rectangle) +purple rectangle
Since the area of the blue triangle was found in part (a), let's find the area of the orange rectangle first.
Area of orange rectangle
= 10 ×5
= 50 cm²
Area of purple rectangle
= 10 ×6
= 60 cm²
∴ surface area of prism
= 2(12) +2(50) +60
= 24 +100 +60
= 184 cm²
Ответ: