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CanadaON
Grade 10

Lateral area of right pyramids

Interactive practice questions

Consider this regular pentagonal pyramid and its net.

The regular pentagonal pyramid and its net are outlined in green. The regular pentagonal pyramid is on the left side, with its base shaded in a lighter green color and its non-visible parts represented as dashed green lines. The perpendicular height of the triangular faces, measured from the base to the apex, is labeled as $12$12 units. One side of the pentagonal base is labeled as $11$11 units. On the right is the net of a regular pentagonal pyramid. It is composed of a regular pentagon with one triangular face attach on each of the pentagon's side. The perpendicular height of the triangular face is also labeled as $12$12 units. One side of the regular pentagon in the net is also labeled as $11$11 units. The length and base of the regular pentagonal pyramid and unfold net are measured using black dimension lines.

a

How many identical triangular faces does it have?

$\editable{}$ triangular faces.

b

Find the area of one triangular face.

c

Find the lateral area of the pyramid.

Easy
1 min

Consider this regular square pyramid.

Easy
2 min

Consider this regular hexagonal pyramid.

Easy
1 min

Consider this regular hexagonal pyramid.

The slant height $k$k is three times longer than the side length of $5$5 units.

Easy
1 min
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Outcomes

10P.MT3.03

Determine, through investigation, the relationship for calculating the surface area of a pyramid

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