Answer:
V = 27 m³
Step-by-step explanation:
The volume (V) is calculated as
V = lbh ( l is length, b is breadth, h is height )
here l = b = h = 3 , then
V = 3 × 3 × 3 = 9 × 3 = 27 m³
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
If the design is the cube in the second answer then it would have a surface area of 25 cm per face of the cube because to get the surface are you would multiple side by side of a face and then to get the full cubes surface area multiple one faces surface area by six because the cube has six faces and to get the volume you cube the side length of 5cm to get 125cm cubed. Hope this helps.
8.2x = 139.4
x = 139.4/8.2
x = 17
therefore answer 2 is correct