Answer:
Total surface area = 434 cm²
Total volume = 470 cm³
Step-by-step explanation:
1. The prism can be decomposed into two rectangular prisms which are the bigger rectangular prism and the smaller rectangular prism
✔️Total surface area of the prism = (surface area of the bigger prism - area of the face joined to the smaller prism) + (surface area of the smaller prism - area of the face joined to the bigger prism)
Surface Area of bigger prism = 2(LW + LH + HW)
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Area of bigger rectangular prism = 2(10*4 + 10*8 + 8*4)
= 304 cm²
Surface area of the smaller prism = 2(LW + LH + HW)
L = 10 cm
H = 3 cm
W = 5 cm
Area of bigger rectangular prism = 2(10*5 + 10*3 + 3*5)
= 190 cm²
Area of the face joining both rectangular prisms = L*W
L = 10 cm
W = 3 cm
Area = 10*3 = 30 cm²
✅total surface area of the prism = (304 - 30) + (190 - 30) = 274 + 160 = 434 cm²
2. Volume of the prism = volume of the bigger rectangular prism + volume of the smaller rectangular prism
✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 8 cm
W = 9 - 5 = 4 cm
Volume = 10*8*4 = 320 cm³
✔️✔️Volume of the bigger rectangular prism = L*W*H
L = 10 cm
H = 3 cm
W = 5 cm
Volume = 10*3*5 = 150 cm³
✅Total Volume of the prism = 320 + 150 = 470 cm³
Answer:
5.2
Step-by-step explanation:
1.3, 1.9, 4.9, 4.9, 5.5, 8.4, 8.7, 9.4
the median is the middle number, so it would be in between 4.9 and 5.5
the answer is 5.2
Answer:
a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64
b) 7^4 = 7*7*7*7 = 2401
c) 3^2 + 2^3
= 9 + 8
= 17
d) 2^4 - 3^2
= 16 - 9
= 7
Answer:
When you take the derivative of -tan(xy) you have to account for the chain rule in the xy.
Step-by-step explanation:
Your answer should be set up as such.
0 - sec^2(xy) ((y)+(x*dy/dx)) = 0
y + x*dy/dx = 0
dy/dx = -y/x
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