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svp [43]
3 years ago
12

Enter the unlock number to unlock this door!

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

*See attachment below for the diagram

Answer:

DBECA

Step-by-step explanation:

Recall:

Volume of rectangular prism = Length*Width*Height or

V = Base area * Height

✔️Volume of A:

Length = ½ m

Width = ¼ m

Height = ¼ m

Volume of A = L*W*H = ½*¼*¼

= ¹/32 m³

= 0.03125 m³

✔️Volume of B:

Base area = 32 m²

Height = 7.25 m

Volume of B = base area * height

= 32*7.25

= 232 m³

✔️Volume of C:

Length = ½ m

Width = ¼ m

Height = ½ m

Volume of A = L*W*H = ½*¼*½

= ¹/16 m³

= 0.0625 m³

✔️Volume of D:

Length = 8½ m = 8.5 m

Width = 3½ m = 3.5 m

Height = 9¼ m = 9.25

Volume of A = L*W*H = 8.5 * 3.5 * 9.25

= 275.1875 m³ ≈ 275.2 m³

✔️Volume of E:

Base area = 26⅓ m² ≈ 26.33 m²

Height = 5 m

Volume of E = 26.33 * 5

≈ 131.7 m³

Arrange from greatest to the least volume:

D (275.2) > B (232) > E (131.7) > C (0.0625) > A (0.03125)

The answer code = DBECA

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