Question

Enter the unlock number to unlock this door!

Find the volume of each shape. Then, form the unlock code by arranging the

letters of the shapes in order from greatest to least volume. (NOT drawn to scale!)

44 m

42 m

А

A

С

14 m

Base Area

32 m

17.25 m

72 m

V4 m

B

72m

D

9 34 m

E

5 m

372 m

Base Area = 26 73 m²

872 m

Your answer

I

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Answer 1

*See attachment below for the diagram

Answer:

DBECA

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