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11111nata11111 [884]
3 years ago
14

3. Leo made a container to store his camping gear. The container is in the shape of a rectangular prism. The container has mater

ial covering all six sides.
(a) What is the capacity of the container? (Volume)
(b) How much material was used to make the container? (Surface Area)

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer: A is 40ft3

B is 76ft3

Step-by-step explanation:

A is Volume. V= LxWxH

V=5 x 2 x 4

V= 40ft3

B is surface Area. 5x2= 10

2x4=8

4x5=20

10+8+20=38

38x2= 76ft3

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Answer:

d. 89°

Step-by-step explanation:

The given measure of the angles formed are;

m∠AED = 48°, m\widehat{AG} = 175°

According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;

Therefore;

m∠AED = (1/2) × m\widehat{ABE}  = 48°

∴ m\widehat{ABE} = 2 × 48° = 96°

m∠AEF = (1/2) × m\widehat{AGE}

m\widehat{ABE} + m\widehat{AGE} = 360° (angle round a circle)

∴ m\widehat{AGE} = 360° - m\widehat{ABE} = 360° - 96° = 264°

m\widehat{AGE} = m\widehat{AG} + m\widehat{EG}

∴ m\widehat{EG} = m\widehat{AGE} - m\widehat{AG} = 264° - 175° = 89°

m\widehat{EG} = 89°.

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